# zbMATH — the first resource for mathematics

## International Journal of Adaptive Control and Signal Processing

 Short Title: Int. J. Adapt. Control Signal Process. Publisher: Wiley, Chichester ISSN: 0890-6327; 1099-1115/e Online: https://onlinelibrary.wiley.com/loi/10991115
 Documents Indexed: 1,728 Publications (since 1987) References Indexed: 1,227 Publications with 33,307 References.
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#### Latest Issues

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#### Authors

 22 Ortega, Romeo S. 18 Shi, Peng 15 Tomei, Patrizio 14 Ding, Feng 14 Kárný, Miroslav 13 Haddad, Wassim Michael 13 Puig, Vicenç 13 Tao, Gang 11 Bobtsov, Alexey A. 11 Lewis, Frank Leroy 11 Moore, John Barratt 10 Jiang, Bin 10 Yucelen, Tansel 9 Anderson, Brian David Outram 9 Dumont, Guy A. 9 Efimov, Denis V. 9 Narendra, Kumpati S. 9 Owens, David Howard 9 Xia, Yuanqing 8 Cao, Jinde 8 Fradkov, Aleksandr L’vovich 8 Ioannou, Petros A. 8 Krstić, Miroslav 8 Mosca, Edoardo 8 Rogers, Eric 7 Bernstein, Dennis S. 7 Casavola, Alessandro 7 Duarte-Mermoud, Manuel Armando 7 El Hajjaji, Ahmed 7 Giri, Fouad 7 Huang, Deqing 7 Li, Junmin 7 Lozano, Rogelio 7 Marino, Riccardo 7 Pyrkin, Anton A. 7 Xu, Jianxin 7 Zhao, Jun 7 Zhao, Shunyi 7 Zheng, Wei Xing 6 Åström, Karl Johan 6 Barkana, Itzhak 6 Battistelli, Giorgio 6 Campi, Marco Claudio 6 Chambers, Jonathon A. 6 Deng, Zili 6 Edwards, Christopher 6 Hu, Qinglei 6 Huang, Biao 6 Karimi, Alireza 6 Landau, Ioan Doré 6 Liu, Fei 6 Mareels, Iven M. Y. 6 Nagy, Ivan 6 Safonov, Michael George 6 Savaresi, Sergio M. 6 Söderström, Torsten 6 Wu, Yuqiang 6 Yang, Guanghong 6 Zhang, Tianping 6 Zhang, Youmin 5 Baldi, Simone 5 Benzaouia, Abdellah 5 Bittanti, Sergio 5 Bodson, Marc 5 Chen, Mou 5 Chen, Tongwen 5 Dawson, Darren M. 5 Dion, Jean-Michel 5 Goodwin, Graham Clifford 5 Gutman, Per-Olof 5 Hespanha, João Pedro 5 Jiang, Zhong-Ping 5 Kennedy, Rodney A. 5 Lemos, João Miranda 5 Ljung, Lennart 5 Morse, A. Stephen 5 Nedoma, Petr 5 Piroddi, Luigi 5 Radenkovic, Miloje S. 5 Su, Hongye 5 Theilliol, Didier 5 Unbehauen, Heinz 5 Verrelli, Cristiano Maria 5 Wen, Changyun 5 Wu, Wanqing 5 Xie, Xuejun 5 Yang, Erfu 5 Yao, Bin 5 Zong, Guangdeng 4 Bastin, Georges 4 Benosman, Mouhacine 4 Bentsman, Joseph 4 Bitmead, Robert R. 4 Blesa, Joaquim 4 Chowdhury, Fahmida N. 4 Dahhou, Boutaieb 4 De Doná, José A. 4 Demetriou, Michael A. 4 Ding, Steven X. 4 Driessen, Brian J. ...and 2,903 more Authors
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#### Fields

 1,662 Systems theory; control (93-XX) 124 Biology and other natural sciences (92-XX) 116 Information and communication theory, circuits (94-XX) 108 Computer science (68-XX) 90 Operations research, mathematical programming (90-XX) 59 Probability theory and stochastic processes (60-XX) 39 Statistics (62-XX) 39 Mechanics of particles and systems (70-XX) 34 Numerical analysis (65-XX) 33 Calculus of variations and optimal control; optimization (49-XX) 29 General and overarching topics; collections (00-XX) 27 Ordinary differential equations (34-XX) 16 Mechanics of deformable solids (74-XX) 9 Real functions (26-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Partial differential equations (35-XX) 5 Optics, electromagnetic theory (78-XX) 4 History and biography (01-XX) 4 Fluid mechanics (76-XX) 3 Mathematical logic and foundations (03-XX) 3 Combinatorics (05-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 Difference and functional equations (39-XX) 2 Quantum theory (81-XX) 1 Commutative algebra (13-XX) 1 Approximations and expansions (41-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX)

#### Citations contained in zbMATH Open

1,066 Publications have been cited 5,090 times in 3,821 Documents Cited by Year
A unified approach to the optimzation of fault detection systems. Zbl 0983.93016
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2000
Robust $$H_\infty$$ filtering for switched linear discrete-time systems with polytopic uncertainties. Zbl 1127.93324
Zhang, Lixian; Shi, Peng; Wang, Changhong; Gao, Huijun
2006
Least-squares parameter estimation for systems with irregularly missing data. Zbl 1200.93130
Ding, Feng; Ding, Jie
2010
Sliding mode control of switched hybrid systems with time-varying delay. Zbl 1241.93016
Wu, Ligang; Lam, James
2008
Global exponential stability of a class of impulsive cellular neural networks with supremums. Zbl 1338.93316
Stamova, Ivanka; Stamov, Trayan; Li, Xiaodi
2014
On sliding mode observers for systems with unknown inputs. Zbl 1128.93008
Floquet, T.; Edwards, C.; Spurgeon, S. K.
2007
Distributed attitude alignment in spacecraft formation flying. Zbl 1115.93338
Ren, Wei
2007
Identification of dual-rate systems based on finite impulse response models. Zbl 1055.93018
Ding, Feng; Chen, Tongwen
2004
Adaptive control using multiple models, switching and tuning. Zbl 1016.93034
Narendra, Kumpati S.; Driollet, Osvaldo A.; Feiler, Matthias; George, Koshy
2003
Bias compensation-based parameter estimation for output error moving average systems. Zbl 1263.93215
Ding, Jie; Ding, Feng
2011
Fault detection and isolation in linear parameter-varying descriptor systems via proportional integral observer. Zbl 1309.93030
Hamdi, H.; Rodrigues, Mickael; Mechmeche, C.; Theilliol, D.; Benhadj Braiek, N.
2012
Iterative feedback tuning – an overview. Zbl 1048.93057
2002
Least squares based self-tuning control of dual-rate systems. Zbl 1055.93044
Ding, Feng; Chen, Tongwen
2004
Robust weighted $$H_{\infty }$$ filtering for networked systems with intermittent measurements of multiple sensors. Zbl 1214.93112
Zhang, Hui; Shi, Yang; Mehr, Aryan Saadat
2011
Necessary and sufficient conditions for the existence of a common quadratic Lyapunov function for a finite number of stable second-order linear time-invariant systems. Zbl 1027.93037
Shorten, Robert N.; Narendra, Kumpati S.
2002
Cho, Hyonyong; Bai, Er-Wei
1998
Detection, estimation, and accommodation of loss of control effectiveness. Zbl 1016.93025
Wu, N. Eva; Zhang, Youmin; Zhou, Kemin
2000
Sliding mode control for a class of uncertain nonlinear system based on disturbance observer. Zbl 1185.93039
Chen, Mou; Chen, Wen-Hua
2010
Issues, progress and new results in robust adaptive control. Zbl 1132.93023
Fekri, Sajjad; Athans, Michael; Pascoal, Antonio
2006
Adaptive control of Burgers’ equation with unknown viscosity. Zbl 0995.93039
Liu, Wei-Jiu; Krstić, Miroslav
2001
Parallel feedforward and simplified adaptive control. Zbl 0736.93042
Bar-Kana, Izhak
1987
Iterative learning control and repetitive control in hard disk drive industry – a tutorial. Zbl 1284.93269
Chen, YangQuan; Moore, Kevin L.; Yu, Jie; Zhang, Tao
2008
Learning control theory for robotic motion. Zbl 0738.93052
Arimoto, Suguru
1990
Transfer function estimation from noisy input and output data. Zbl 0915.93066
Zheng, Wei Xing
1998
Iterative learning control for nonlinear dynamic systems with randomly varying trial lengths. Zbl 1333.93274
Li, Xuefang; Xu, Jian-Xin; Huang, Deqing
2015
Actuator fault estimation observer design for discrete-time linear parameter-varying descriptor systems. Zbl 1337.93056
Wang, Zhenhua; Rodrigues, Mickael; Theilliol, Didier; Shen, Yi
2015
Adaptive prescribed performance control of nonlinear systems with unknown dead zone. Zbl 1283.93153
Na, Jing
2013
Issues in the design of switched linear control systems: A benchmark study. Zbl 1016.93026
Leith, D. J.; Shorten, R. N.; Leithead, W. E.; Mason, O.; Curran, P.
2003
Control of uncertain nonlinear systems with arbitrary relative degree and unknown control direction using sliding modes. Zbl 1128.93022
Oliveira, T. R.; Peixoto, A. J.; Nunes, E. V. L.; Hsu, L.
2007
Adaptive control of nonlinear systems with unknown virtual control coefficients. Zbl 0958.93049
Ding, Zhengtao
2000
Network-based fault detection for discrete-time state-delay systems: a new measurement model. Zbl 1284.93147
He, Xiao; Wang, Zidong; Ji, Y. D.; Zhou, D. H.
2008
Stabilization of controlled positive discrete-time T-S fuzzy systems by state feedback control. Zbl 1213.93172
Benzaouia, Abdellah; Hmamed, Abdelaziz; EL Hajjaji, Ahmed
2010
Iterative correlation-based controller tuning. Zbl 1055.93030
Karimi, A.; Mišković, L.; Bonvin, D.
2004
Adaptive output feedback actuator failure compensation for a class of nonlinear systems. Zbl 1138.93406
Tang, Xidong; Tao, Gang; Joshi, Suresh M.
2005
Guaranteed recursive nonlinear state bounding using interval analysis. Zbl 1006.93067
Kieffer, Michel; Jaulin, Luc; Walter, Éric
2002
Robust fault detection and isolation for LPV systems under a sensitivity constraint. Zbl 1163.93346
Armeni, Saverio; Casavola, Alessandro; Mosca, Edoardo
2009
Robust fault detection using zonotope-based set-membership consistency test. Zbl 1160.93318
Ingimundarson, Ari; Bravo, José Manuel; Puig, Vicenç; Alamo, Teodoro; Guerra, Pedro
2009
Optimal filtering for incompletely measured polynomial states over linear observations. Zbl 1284.93230
Basin, Michael; Calderon-Alvarez, Dario; Skliar, Mikhail
2008
Model reduction for robust control: A Schur relative error method. Zbl 0731.93013
Safonov, M. G.; Chiang, R. Y.
1988
Optimizing bioreactors by extremum seeking. Zbl 0939.93519
Wang, Hsin-Hsiung; Krstić, Miroslav; Bastin, Georges
1999
Rejection of periodic disturbances of unknown and time-varying frequency. Zbl 1076.93517
Bodson, Marc
2005
Indirect adaptive state feedback control of linearly parametrized nonlinear systems. Zbl 0744.93058
Campion, G.; Bastin, G.
1990
Concurrent learning adaptive control of linear systems with exponentially convergent bounds. Zbl 1272.93069
Chowdhary, Girish; Yucelen, Tansel; Mühlegg, Maximillian; Johnson, Eric N.
2013
Delay-dependent $$H_\infty$$ performance analysis and filtering for Markovian jump systems with interval time-varying delays. Zbl 1204.93123
Zhao, Xudong; Zeng, Qingshuang
2010
Robust predictive control of switched systems: satisfying uncertain schedules subject to state and control constraints. Zbl 1241.93019
Mhaskar, Prashant; El-Farra, Nael H.; Christofides, Panagiotis D.
2008
Multiple model adaptive control with safe switching. Zbl 0995.93044
Anderson, Brian D. O.; Brinsmead, Thomas; Liberzon, Daniel; Morse, A. Stephen
2001
Delay-dependent filtering design for time-delay systems with Markovian jumping parameters. Zbl 1120.60043
Hu, Li-Sheng; Shi, Peng; Cao, Yong-Yan
2007
A finite frequency approach to filter design for uncertain discrete-time systems. Zbl 1298.93332
Wang, Heng; Yang, Guang-Hong
2008
Robust multiple model adaptive control (rmmac): a case study. Zbl 1107.93019
Fekri, Sajjad; Athans, Michael; Pascoal, Antonio
2007
Adaptive unknown input observer approach for aircraft actuator fault detection and isolation. Zbl 1134.93318
Wang, Dan; Lum, Kai-Yew
2007
Data-driven model reference control with asymptotically guaranteed stability. Zbl 1233.93102
van Heusden, Klaske; Karimi, Alireza; Bonvin, Dominique
2011
A new approach to adaptive robust control. Zbl 0781.93051
Lee, Wee Sit; Anderson, Brian D. O.; Kosut, Robert L.; Mareels, Iven M. Y.
1993
Indirect adaptive fuzzy control for input and output constrained nonlinear systems using a barrier Lyapunov function. Zbl 1330.93145
Li, Yongming; Li, Tieshan; Jing, Xingjian
2014
Dual high-gain-based adaptive output-feedback control for a class of nonlinear systems. Zbl 1160.93345
Krishnamurthy, P.; Khorrami, F.
2008
State estimation for bilinear systems through minimizing the covariance matrix of the state estimation errors. Zbl 1425.93278
Zhang, Xiao; Ding, Feng; Yang, Erfu
2019
Robust adaptive output-feedback control for a class of nonlinear systems with time-varying actuator faults. Zbl 1204.93040
Zhang, Zhengqiang; Xu, Shengyuan; Guo, Yu; Chu, Yuming
2010
Active fault tolerant control systems by the semi-Markov model approach. Zbl 1327.93355
Huang, Ji; Shi, Yang; Zhang, Xue
2014
A fractional adaptation law for sliding mode control. Zbl 1241.93015
Efe, Mehmet Önder; Kasnakoğlu, Coṣku
2008
Adaptive control of time-varying plants: Simple examples. Zbl 0737.93041
Tsakalis, K. S.; Ioannou, P. A.
1988
On stable simultaneous input and state estimation for discrete-time linear systems. Zbl 1227.93112
Fang, Huazhen; Shi, Yang; Yi, Jingang
2011
State-feedback stabilization for a class of more general high order stochastic nonholonomic systems. Zbl 1227.93100
Zhao, Yan; Yu, Jiangbo; Wu, Yuqiang
2011
Unbiased parameter estimation of linear systems in the presence of input and output noise. Zbl 0733.93077
Zheng, Wei-Xing; Feng, Chun-Bo
1989
Adaptive friction compensation with partially known dynamic friction model. Zbl 0875.93215
Canudas de Wit, C.; Lischinsky, P.
1997
Less conservative criteria for fault accommodation of time-varying delay systems using adaptive fault diagnosis observer. Zbl 1193.93166
Jiang, Bin; Zhang, Ke; Shi, Peng
2010
Robust model reference adaptive control for multivariable plants. Zbl 0727.93036
Tao, G.; Ioannou, P. A.
1988
Composite adaptive disturbance observer-based control for a class of nonlinear systems with multisource disturbance. Zbl 1273.93099
Wei, Xinjiang; Chen, Nan; Li, Wuquan
2013
Asymptotic stability, $$\ell_{2}$$ gain, boundness analysis, and control synthesis for switched systems: a switching frequency approach. Zbl 1274.93235
Xiang, Weiming; Xiao, Jian; Iqbal, Muhammad Naveed
2012
Adaptive fuzzy output-feedback tracking control for switched stochastic pure-feedback nonlinear systems. Zbl 1429.93175
2019
A stochastic embedding approach for quantifying uncertainty in the estimation of restricted complexity models. Zbl 0733.93070
Goodwin, Graham C.; Salgado, Mario E.
1989
Adaptive digital regulation of noisy systems. Zbl 0952.93074
Peterka, Václav
1999
Adaptive control for non-negative and compartmental dynamical systems with applications to general anesthesia. Zbl 1030.93034
2003
Adaptive two-stage Kalman filter in the presence of unknown random bias. Zbl 1130.93052
Kim, Kwang Hoon; Lee, Jang Gyu; Park, Chan Gook
2006
Online solution of nonquadratic two-player zero-sum games arising in the $$H_\infty$$ control of constrained input systems. Zbl 1331.93055
Modares, Hamidreza; Lewis, Frank L.; Sistani, Mohammad-Bagher Naghibi
2014
The filtering-based maximum likelihood iterative estimation algorithms for a special class of nonlinear systems with autoregressive moving average noise using the hierarchical identification principle. Zbl 1425.93284
Li, Meihang; Liu, Ximei; Ding, Feng
2019
Identification for passive robust fault detection using zonotope-based set-membership approaches. Zbl 1234.93105
Blesa, Joaquim; Puig, Vicenç; Saludes, Jordi
2011
Application of the robust and adaptive pole placement design technique. Zbl 0733.93045
Åström, K. J.
1989
Extending the Frisch scheme for errors-in-variables identification to correlated output noise. Zbl 1160.93394
Söderström, Torsten
2008
Central suboptimal $$H_{\infty}$$ filter design for nonlinear polynomial systems. Zbl 1298.93148
Basin, Michael; Shi, Peng; Calderon-Alvarez, Dario
2009
Sensor network design for fault tolerant estimation. Zbl 1044.93023
Staroswiecki, M.; Hoblos, G.; Aitouche, A.
2004
Observer-based adaptive neural control of uncertain MIMO nonlinear systems with unknown control direction. Zbl 1283.93055
2013
Some remarks on adaptive neuro-fuzzy systems. Zbl 0850.93457
Ortega, Romeo
1996
Convergence properties of bias-eliminating algorithms for errors-in-variables identification. Zbl 1090.93049
Söderström, Torsten; Hong, Mei; Zheng, Wei Xing
2005
Neural-network-based finite-time $$H_\infty$$ control for extended Markov jump nonlinear systems. Zbl 1200.93125
Luan, Xiaoli; Liu, Fei; Shi, Peng
2010
On robust $$H_{\infty }$$ filtering of uncertain Markovian jump time-delay systems. Zbl 1417.93318
Zhang, Baoyong; Zheng, Wei Xing; Xu, Shengyuan
2012
Adaptive robust control of a class of dynamic delay systems with unknown uncertainty bounds. Zbl 0982.93066
Oucheriah, Said
2001
Fault detection of networked control systems with packet based periodic communication. Zbl 1193.93103
Wang, Yongqiang; Ding, Steven X.; Ye, Hao; Wei, Li; Zhang, Ping; Wang, Guizeng
2009
Adaptive sensor and actuator fault estimation for a class of uncertain Lipschitz nonlinear systems. Zbl 1348.93162
Defoort, Michael; Veluvolu, Kalyana C.; Rath, Jagat J.; Djemai, Mohamed
2016
Multi-objective $$H_{\_}/H_{\infty}$$ fault detection observer design for Takagi-Sugeno fuzzy systems with unmeasurable premise variables: descriptor approach. Zbl 1282.93153
2013
Design of adaptive algorithms for the tracking of time-varying systems. Zbl 0738.93041
Benveniste, Albert
1987
The method of recursive aim inequalities in adaptive control theory. Zbl 0782.93059
Bondarko, V. A.; Yakubovich, V. A.
1992
Robust $$\mathcal H_{\infty }$$ filtering for uncertain differential linear repetitive processes. Zbl 1284.93237
Wu, Ligang; Lam, James; Paszke, Wojciech; Galkowski, Krzysztof; Rogers, Eric
2008
Adaptive output tracking for a class of non-linear time-delay systems. Zbl 1055.93033
Pepe, P.
2004
Gain conditions and convergence of simple adaptive control. Zbl 1064.93024
Barkana, Itzhak
2005
Modular stability tools for distributed computation and control. Zbl 1044.93004
Slotine, Jean-Jacques E.
2003
Non-linear co-ordinated path following control of multiple wheeled robots with bidirectional communication constraints. Zbl 1115.93068
Ghabcheloo, R.; Pascoal, A.; Silvestre, C.; Kaminer, I.
2007
On iterative learning control with high-order internal models. Zbl 1204.93136
Liu, Chunping; Xu, Jianxin; Wu, Jun
2010
Fault diagnosis for a class of descriptor linear parameter-varying systems. Zbl 1401.93042
Astorga-Zaragoza, C. M.; Theilliol, D.; Ponsart, J. C.; Rodrigues, M.
2012
An $$H_ \infty$$ approach to linear iterative learning control design. Zbl 0875.93214
Amann, Notker; Owens, David H.; Rogers, Eric; Wahl, Anja
1996
Nonlinear adaptive control via Laguerre expansion of Volterra kernels. Zbl 0796.93065
Dumont, Guy A.; Fu, Ye
1993
Adaptive consensus seeking of multiple nonlinear systems. Zbl 1306.93006
Dong, Wenjie
2012
Separable multi-innovation stochastic gradient estimation algorithm for the nonlinear dynamic responses of systems. Zbl 1469.93111
Xu, Ling; Ding, Feng; Wan, Lijuan; Sheng, Jie
2020
Robust economic model predictive control of nonlinear networked control systems with communication delays. Zbl 1467.93095
Mao, Yawen; Liu, Su; Liu, Jinfeng
2020
Stochastic average gradient algorithm for multirate FIR models with varying time delays using self-organizing maps. Zbl 1469.93108
Chen, Jing; Shen, Qianyan; Ma, Junxia; Liu, Yanjun
2020
State estimation for bilinear systems through minimizing the covariance matrix of the state estimation errors. Zbl 1425.93278
Zhang, Xiao; Ding, Feng; Yang, Erfu
2019
Adaptive fuzzy output-feedback tracking control for switched stochastic pure-feedback nonlinear systems. Zbl 1429.93175
2019
The filtering-based maximum likelihood iterative estimation algorithms for a special class of nonlinear systems with autoregressive moving average noise using the hierarchical identification principle. Zbl 1425.93284
Li, Meihang; Liu, Ximei; Ding, Feng
2019
Sliding mode disturbance observer control based on adaptive synchronization in a class of fractional-order chaotic systems. Zbl 1417.93102
Mofid, Omid; Mobayen, Saleh; Khooban, Mohammad-Hassan
2019
Nonlinear Lipschitz measure and adaptive control for stability and synchronization in delayed inertial Cohen-Grossberg-type neural networks. Zbl 1429.93172
Aouiti, Chaouki; Assali, El Abed
2019
Highly computationally efficient state filter based on the delta operator. Zbl 1425.93290
Zhang, Xiao; Ding, Feng; Xu, Ling; Yang, Erfu
2019
Fuzzy adaptive control of a class of nonlinear systems with unmodeled dynamics. Zbl 1417.93195
Shen, Qikun; Shi, Peng; Wang, Shuoyu; Shi, Yan
2019
Mittag-Leffler state estimator design and synchronization analysis for fractional-order BAM neural networks with time delays. Zbl 1418.93124
Pratap, A.; Raja, R.; Rajchakit, Grienggrai; Cao, Jinde; Bagdasar, O.
2019
Parameter identification of linear time-invariant systems using dynamic regressor extension and mixing. Zbl 1425.93266
Aranovskiy, Stanislav; Belov, Alexey; Ortega, Romeo; Barabanov, Nikita; Bobtsov, Alexey
2019
Synchronization in nonlinear complex networks with multiple time-varying delays via adaptive aperiodically intermittent control. Zbl 1407.93185
Zhang, Chuan; Wang, Xingyuan; Wang, Chunpeng; Liu, Zhuang
2019
Composite learning fuzzy synchronization for incommensurate fractional-order chaotic systems with time-varying delays. Zbl 1451.93220
Zhou, Yan; Liu, Heng; Cao, Jinde; Li, Shenggang
2019
Integral concurrent learning: adaptive control with parameter convergence using finite excitation. Zbl 1451.93200
Parikh, Anup; Kamalapurkar, Rushikesh; Dixon, Warren E.
2019
Algorithms of adaptive tracking of unknown multisinusoidal signals in linear systems with arbitrary input delay. Zbl 1425.93155
Gerasimov, Dmitry N.; Miliushin, Aleksandr S.; Nikiforov, Vladimir O.
2019
Enhanced $$\mathcal{L}_1$$ adaptive control for a benchmark piezoelectric-actuated system via fuzzy approximation. Zbl 1425.93167
Yousef, Hassan A.; Hamdy, Mohamed; Saleem, Ashraf; Nashed, Kyrillos; Mesbah, Mustafa; Shafiq, Muhammad
2019
Hybrid online learning control in networked multiagent systems: A survey. Zbl 1417.93046
Poveda, Jorge I.; Benosman, Mouhacine; Teel, Andrew R.
2019
Stability analysis and robust synchronization of fractional-order competitive neural networks with different time scales and impulsive perturbations. Zbl 1451.93315
Pratap, Anbalagan; Raja, Ramachandran; Agarwal, Ravi P.; Cao, Jinde
2019
Finite-time dissipativity-based filter design for networked control systems. Zbl 1451.93392
Mathiyalagan, K.; Balasubramani, M.; Chang, Xiao-heng; Sangeetha, G.
2019
Composite learning adaptive backstepping control using neural networks with compact supports. Zbl 1451.93199
Pan, Yongping; Yang, Chenguang; Pratama, Mahardhika; Yu, Haoyong
2019
Robust contour tracking of nonholonomic mobile robots via adaptive velocity field motion planning scheme. Zbl 1425.93082
Muñoz-Vázquez, Aldo Jonathan; Sánchez-Torres, Juan Diego; Parra-Vega, Vicente; Sánchez-Orta, Anand; Martínez-Reyes, Fernando
2019
Adaptive identification and control of linear periodic systems using second-level adaptation. Zbl 1425.93160
Narendra, Kumpati S.; Esfandiari, Kasra
2019
Maximum likelihood gradient identification for multivariate equation-error moving average systems using the multi-innovation theory. Zbl 1425.93293
Liu, Lijuan; Ding, Feng; Hayat, Tasawar
2019
Prescribed performance adaptive fuzzy dynamic surface control of nonaffine time-varying delayed systems with unknown control directions and dead-zone input. Zbl 1425.93163
Tooranjipour, Pouria; Vatankhah, Ramin; Arefi, Mohammad Mehdi
2019
Adaptive control for switched uncertain nonlinear systems with time-varying output constraint and input saturation. Zbl 1425.93153
Chen, Aiqing; Tang, Li; Liu, Yan-Jun; Gao, Ying
2019
Finite-time prescribed performance adaptive fuzzy fault-tolerant control for nonstrict-feedback nonlinear systems. Zbl 1425.93161
Su, Hang; Zhang, Weihai
2019
A globally convergent direct adaptive pole-placement controller for nonminimum phase systems with relaxed excitation assumptions. Zbl 1429.93185
Pyrkin, Anton; Ortega, Romeo; Gromov, Vladislav; Bobtsov, Alexey; Vedyakov, Alexey
2019
Adaptive control design for MIMO switched nonlinear systems with full state constraints. Zbl 1429.93176
Chen, Aiqing; Liu, Lei; Liu, Yan-jun
2019
Observer-based adaptive optimal output containment control problem of linear heterogeneous multiagent systems with relative output measurements. Zbl 1417.93175
Mazouchi, Majid; Naghibi-Sistani, Mohammad Bagher; Sani, Seyed Kamal Hosseini; Tatari, Farzaneh; Modares, Hamidreza
2019
Open-loop Stackelberg learning solution for hierarchical control problems. Zbl 1417.93038
Vamvoudakis, Kyriakos G.; Lewis, Frank L.; Dixon, Warren E.
2019
Output-feedback $$H_\infty$$ quadratic tracking control of linear systems using reinforcement learning. Zbl 1417.93141
2019
Interval observers for linear functions of state vectors of linear fractional-order systems with delayed input and delayed output. Zbl 1417.93149
Huong, Dinh Cong
2019
Observer design for neutral-type neural networks with discrete and distributed time-varying delays. Zbl 1417.93263
Dong, Yali; Chen, Laijun; Mei, Shengwei
2019
Fuzzy adaptive optimal control for nonlinear switched systems with actuator hysteresis. Zbl 1417.93196
Sui, Shuai; Tong, Shaocheng; Chen, C. L. Philip; Sun, Kangkang
2019
Hamilton-based adaptive robust control for the speed and tension system of reversible cold strip rolling mill. Zbl 1417.93173
Liu, Le; Shao, Nuan; Lin, Minghao; Fang, Yiming
2019
Adaptive finite-time actuator fault-tolerant coordinated attitude control of multispacecraft with input saturation. Zbl 1417.93185
Zhu, Zhihao; Guo, Yu; Gao, Zhi
2019
Decentralized adaptive multi-dimensional Taylor network tracking control for a class of large-scale stochastic nonlinear systems. Zbl 1417.93182
Yan, Hong-Sen; Han, Yu-Qun
2019
Adaptive neural network command filtered backstepping control of pure-feedback systems in presence of full state constraints. Zbl 1418.93119
Ji, Yuehui; Zhou, Hailiang; Zong, Qun
2019
A new method for online identification of civil structures: virtual synchronization. Zbl 1407.93096
2019
Adaptive state-feedback control with sensor failure compensation for asymptotic output tracking. Zbl 1407.93178
Song, Ge; Tao, Gang
2019
The innovation algorithms for multivariable state-space models. Zbl 1451.93056
Ding, Feng; Zhang, Xiao; Xu, Ling
2019
Learning from adaptive control under relaxed excitation conditions. Zbl 07265732
Pan, Yongping; Bobtsov, Alexey; Darouach, Mohamed; Joo, Young-Hoon
2019
State estimation of system with bounded uncertain parameters: interval multimodel approach. Zbl 1391.93211
Ichalal, Dalil; Marx, Benoît; Maquin, Didier; Ragot, José
2018
Output-feedback adaptive tracking control of stochastic nonlinear systems using multi-dimensional Taylor network. Zbl 1391.93195
Han, Yu-Qun
2018
A model reference tracking based on an active fault tolerant control for LPV systems. Zbl 1398.93084
Rabaoui, B.; Rodrigues, M.; Hamdi, H.; Braiek, N. BenHadj
2018
Pinning control and adaptive control for synchronization of linearly coupled reaction-diffusion neural networks with mixed delays. Zbl 1398.93157
He, Ping
2018
Adaptive fuzzy FTC design of nonlinear stochastic systems with actuator faults and unmodeled dynamics. Zbl 1406.93173
Su, Hang; Zhang, Weihai
2018
Design of unknown-input reduced-order observers for a class of nonlinear fractional-order time-delay systems. Zbl 1391.93048
Huong, Dinh Cong; Thuan, Mai Viet
2018
Asymmetric prescribed performance-barrier Lyapunov function for the adaptive dynamic surface control of unknown pure-feedback nonlinear switched systems with output constraints. Zbl 1402.93227
Chen, Longsheng
2018
Adaptive leader-following state consensus of multiagent systems with switching topology. Zbl 1402.93036
Song, Ge; Tao, Gang
2018
Global exponential stability of antiperiodic solutions for impulsive discrete-time Markovian jumping stochastic BAM neural networks with additive time-varying delays and leakage delay. Zbl 1398.93359
Sowmiya, C.; Raja, R.; Cao, Jinde; Ravi, G.; Li, Xiaodi; Alsaedi, A.; Tu, Zhengwen
2018
Fuzzy adaptive leader-following consensus of second-order multiagent systems with imprecise communication topology structure. Zbl 1398.93186
Chen, Jiaxi; Li, Junmin; Wu, Hui
2018
Command governor-based adaptive control for dynamical systems with matched and unmatched uncertainties. Zbl 1398.93176
Yayla, Metehan; Arabi, Ehsan; Kutay, Ali Turker; Yucelen, Tansel
2018
Effects of leakage delay on global asymptotic stability of complex-valued neural networks with interval time-varying delays via new complex-valued Jensen’s inequality. Zbl 1405.93192
Samidurai, R.; Sriraman, R.; Cao, Jinde; Tu, Zhengwen
2018
Robust adaptive constrained boundary control for a suspension cable system of a helicopter. Zbl 1390.93258
Ren, Yong; Chen, Mou; Shi, Peng
2018
Adaptive and optimal synchronization control of networked positive real infinite dimensional systems with virtual leader. Zbl 1402.93152
Demetriou, Michael A.
2018
Model reference discrete-time variable structure control. Zbl 1402.93073
2018
Low-complexity ISS state estimation approach with bounded disturbances. Zbl 1402.93237
Shen, Qiang; Liu, Jieyu; Zhou, Xiaogang; Zhao, Qian; Wang, Qi
2018
Detector design for active fault diagnosis in closed-loop systems. Zbl 1396.93110
Sekunda, A. K.; Niemann, H. H.; Poulsen, N. K.
2018
An improved adaptive dynamic surface control approach for uncertain nonlinear systems. Zbl 1396.93077
Zhang, Zhikai; Duan, Guangren; Hou, Mingzhe
2018
A learning control algorithm for periodic robot synchronization: experimental results. Zbl 1396.93092
Gnucci, M.; Gospodarczyk, M.; Carnevale, D.; Tiberti, M.; Tomei, P.; Verrelli, C. M.
2018
Model-based vs data-driven adaptive control: an overview. Zbl 1396.93068
Benosman, Mouhacine
2018
Distributed Student’s $$t$$ filtering algorithm for heavy-tailed noises. Zbl 1398.93342
Xu, Chen; Zhao, Shunyi; Huang, Biao; Liu, Fei
2018
Quantized $$H_{\infty}$$ filtering for state-delayed systems with finite frequency specifications. Zbl 1398.93095
El Hellani, D.; El Hajjaji, A.; Ceschi, R.
2018
Adaptive switching control of uncertain fractional systems: application to Chua’s circuit. Zbl 1398.93153
2018
Single channel informed signal separation using artificial-stereophonic mixtures and exemplar-guided matrix factor deconvolution. Zbl 1405.93160
Al-Tmeme, Ahmed; Woo, W. L.; Dlay, S. S.; Gao, Bin
2018
Finite-time synchronization and adaptive synchronization of memristive recurrent neural networks with delays. Zbl 1405.93133
Li, Xiaofan; Fang, Jian-an; Li, Huiyuan
2018
A new filter-based stochastic gradient algorithm for dual-rate ARX models. Zbl 1405.93211
Chen, Jing; Liu, Yanjun; Xu, Ling
2018
Iterative learning scheme to design intermittent fault estimators for nonlinear systems with parameter uncertainties and measurement noise. Zbl 1406.93318
Feng, Li; Xu, Shuiqing; Chai, Yi; Yang, Zhimin; Zhang, Ke
2018
Enhanced result on stability analysis of randomly occurring uncertain parameters, leakage, and impulsive BAM neural networks with time-varying delays: discrete-time case. Zbl 1406.93285
Sowmiya, C.; Raja, R.; Cao, Jinde; Rajchakit, G.
2018
Robust RBF neural network-based backstepping controller for implantable cardiac pacemakers. Zbl 1406.92308
Karar, Mohamed Esmail
2018
Event-triggered adaptive tracking control for a class of uncertain stochastic nonlinear systems with Markov jumping parameters. Zbl 1407.93169
He, Miao; Li, Junmin
2018
A fuzzy adaptive backstepping control based on mass observer for trajectory tracking of a quadrotor UAV. Zbl 1407.93276
Zhou, Laihong; Zhang, Juqian; Dou, Jingxin; Wen, Bangchun
2018
Marginalized approximate filtering of state-space models. Zbl 1390.93784
Dedecius, K.
2018
Immersion and invariance adaptive control for discrete-time systems in strict-feedback form with input delay and disturbances. Zbl 1390.93430
Franco, Enrico
2018
Robust time-varying Kalman estimators for systems with packet dropouts and uncertain-variance multiplicative and linearly correlated additive white noises. Zbl 1390.93781
Chunshan, Yang; Zili, Deng
2018
Robust centralized and weighted measurement fusion white noise deconvolution estimators for multisensor systems with mixed uncertainties. Zbl 1390.93765
Liu, Wen-Qiang; Wang, Xue-Mei; Deng, Zi-Li
2018
Homogenous polynomial $$H_{\infty}$$ filtering for uncertain discrete-time systems: A descriptor approach. Zbl 1390.93817
Zoulagh, T.; El Haiek, B.; Hmamed, A.; El Hajjaji, A.
2018
On the need of projections in input-error model reference adaptive control. Zbl 1391.93124
Barabanov, Nikita; Ortega, Romeo
2018
An adaptive sliding-mode observer for a class of uncertain nonlinear systems. Zbl 1391.93058
Ríos, H.; Efimov, D.; Perruquetti, W.
2018
Fault estimation of wind turbines using combined adaptive and parameter estimation schemes. Zbl 1391.93218
Witczak, Marcin; Rotondo, Damiano; Puig, Vicenç; Nejjari, Fatiha; Pazera, Marcin
2018
Fault estimation and fault-tolerant control of the FAST NREL 5-MW reference wind turbine using a proportional multi-integral observer. Zbl 1391.93213
Kühne, Patrick; Pöschke, Florian; Schulte, Horst
2018
Observer-based adaptive control for stochastic nonstrict-feedback systems with unknown backlash-like hysteresis. Zbl 1376.93058
Bai, Lu; Zhou, Qi; Wang, Lijie; Yu, Zhandong; Li, Hongyi
2017
Decentralized prescribed performance adaptive tracking control for Markovian jump uncertain nonlinear systems with input saturation. Zbl 1358.93005
Chang, Ru; Fang, Yiming; Liu, Le; Li, Jianxiong
2017
Robust input-output finite-time filtering for uncertain Markovian jump nonlinear systems with partially known transition probabilities. Zbl 1376.93108
Ren, Hangli; Zong, Guangdeng
2017
Direct and indirect adaptive integral line-of-sight path-following controllers for marine craft exposed to Ocean currents. Zbl 1369.93300
Fossen, Thor I.; Lekkas, Anastasios M.
2017
Robust reliable dissipative filtering for Markovian jump nonlinear systems with uncertainties. Zbl 1358.93175
Sakthivel, Rathinasamy; Sathishkumar, M.; Mathiyalagan, Kalidass; Marshal Anthoni, S.
2017
Composite adaptive anti-disturbance resilient control for Markovian jump systems with partly known transition rate and multiple disturbances. Zbl 1370.93244
Li, Yankai; Sun, Haibin; Zong, Guangdeng; Hou, Linlin
2017
Identification of photovoltaic arrays’ maximum power extraction point via dynamic regressor extension and mixing. Zbl 1375.93037
Pyrkin, Anton; Mancilla-David, Fernando; Ortega, Romeo; Bobtsov, Alexey; Aranovskiy, Stanislav
2017
A linear programming approach to online set membership parameter estimation for linear regression models. Zbl 1362.93148
Casini, M.; Garulli, A.; Vicino, A.
2017
Predictor-based adaptive dynamic surface control for consensus of uncertain nonlinear systems in strict-feedback form. Zbl 1358.93108
Wang, Wei; Wang, Dan; Peng, Zhouhua
2017
Adaptive fault tolerant control against actuator faults. Zbl 1358.93067
Shen, Qikun; Jiang, Bin; Shi, Peng
2017
Convergence analysis of generalized conjugate direction method to solve general coupled Sylvester discrete-time periodic matrix equations. Zbl 1370.93160
Hajarian, Masoud
2017
Stability analysis of quantized iterative learning control systems using lifting representation. Zbl 1375.93115
Bu, Xuhui; Hou, Zhongsheng; Cui, Lizhi; Yang, Junqi
2017
Noise covariance matrices in state-space models: a survey and comparison of estimation methods. I. Zbl 1386.93283
Duník, Jindřich; Straka, Ondřej; Kost, Oliver; Havlík, Jindřich
2017
Iterative learning control for non-repetitive trajectory tracking of robot manipulators with joint position constraints and actuator faults. Zbl 1366.93404
Jin, Xu
2017
Dissipativity and passivity analysis for discrete-time complex-valued neural networks with leakage delay and probabilistic time-varying delays. Zbl 1366.93614
Ramasamy, S.; Nagamani, G.
2017
Task space consensus in networks of heterogeneous and uncertain robotic systems with variable time-delays. Zbl 1366.93015
Nuño, Emmanuel; Aldana, Carlos I.; Basañez, Luis
2017
Prescribed performance bound-based adaptive path-following control of uncertain nonholonomic mobile robots. Zbl 1369.93425
Wang, Wei; Huang, Jiangshuai; Wen, Changyun
2017
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#### Cited by 5,625 Authors

 61 Shi, Peng 56 Ding, Feng 41 Jiang, Bin 38 Ortega, Romeo S. 36 Yang, Guanghong 30 Cao, Jinde 30 Karimi, Hamid Reza 24 Li, Xiaodi 23 Tao, Gang 23 Wen, Changyun 23 Zhao, Jun 22 Fradkov, Aleksandr L’vovich 22 Kárný, Miroslav 22 Liu, Fei 21 Ding, Steven X. 21 Park, Juhyun (Jessie) 20 Puig, Vicenç 20 Xiang, Zhengrong 20 Zhang, Lixian 20 Zhao, Xudong 19 Bobtsov, Alexey A. 19 Zong, Guangdeng 18 Basin, Michael V. 18 Krstić, Miroslav 18 Wang, Zidong 17 Ding, Ruifeng 17 Efimov, Denis V. 17 Pyrkin, Anton A. 17 Shi, Yang 17 Tomei, Patrizio 17 Xu, Shengyuan 16 Söderström, Torsten 16 Wu, Ligang 16 Xiang, Weiming 16 Xu, Jianxin 15 Gao, Huijun 15 Haddad, Wassim Michael 15 Lam, James 15 Su, Hongye 15 Theilliol, Didier 15 Wu, Yuqiang 15 Xiao, Jian 15 Zheng, Wei Xing 14 Fridman, Leonid M. 14 Hayat, Tasawar 14 Huang, Deqing 14 Oliveira, Tiago Roux 14 Verrelli, Cristiano Maria 14 Wang, Jinrong 14 Xia, Yuanqing 14 Zhang, Zhengqiang 13 Anderson, Brian David Outram 13 Ge, Shuzhi Sam 13 Qiu, Jianbin 13 Seron, Maria Marta 13 Wang, Zhenhua 13 Yucelen, Tansel 12 Benzaouia, Abdellah 12 Campi, Marco Claudio 12 Cocquempot, Vincent 12 El Hajjaji, Ahmed 12 Hjalmarsson, Håkan 12 Lewis, Frank Leroy 12 Mahmoud, Magdi Sadik Mostafa 12 Shen, Dong 12 Zolghadri, Ali 11 Edwards, Christopher 11 Goodwin, Graham Clifford 11 Gutman, Per-Olof 11 Hayakawa, Tomohisa 11 He, Xiao 11 Hsu, Liu 11 Karimi, Alireza 11 Li, Junmin 11 Liu, Chunsheng 11 Liu, Yungang 11 Marino, Riccardo 11 Mosca, Edoardo 11 Raissi, Tarek 11 Rogers, Eric 11 Wu, Zhengguang 11 Zhang, Huaguang 11 Zhang, Yun 10 Bernstein, Dennis S. 10 Chen, C. L. Philip 10 Chen, Mou 10 De Doná, José A. 10 de la Sen, Manuel 10 Deng, Zili 10 Guay, Martin 10 Guo, Lei 10 Ioannou, Petros A. 10 Jiang, Zhong-Ping 10 Mirkin, Boris M. 10 Nguang, Sing Kiong 10 Ragot, José 10 Rajchakit, Grienggrai 10 Ren, Xuemei 10 Sauter, Dominique D. J. 10 Shen, Yi ...and 5,525 more Authors
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#### Cited in 190 Journals

 604 Automatica 382 International Journal of Adaptive Control and Signal Processing 372 Journal of the Franklin Institute 316 International Journal of Control 171 Mathematical Problems in Engineering 161 Systems & Control Letters 150 International Journal of Robust and Nonlinear Control 105 European Journal of Control 100 Nonlinear Dynamics 98 Asian Journal of Control 88 International Journal of Systems Science 85 Applied Mathematics and Computation 82 International Journal of Systems Science. Principles and Applications of Systems and Integration 76 Circuits, Systems, and Signal Processing 58 Complexity 54 Information Sciences 54 International Journal of Applied Mathematics and Computer Science 43 Nonlinear Analysis. Hybrid Systems 36 Automation and Remote Control 28 Applied Mathematical Modelling 27 Journal of Systems Science and Complexity 26 Fuzzy Sets and Systems 26 Optimal Control Applications & Methods 25 Abstract and Applied Analysis 25 Journal of Control Science and Engineering 21 Signal Processing 18 Discrete Dynamics in Nature and Society 17 Mathematics and Computers in Simulation 17 Advances in Difference Equations 16 Neural Networks 15 Computers & Mathematics with Applications 15 Chaos, Solitons and Fractals 15 Communications in Nonlinear Science and Numerical Simulation 14 MCSS. Mathematics of Control, Signals, and Systems 14 Journal of Applied Mathematics 14 Journal of Control Theory and Applications 12 Neural Computation 12 Journal of Vibration and Control 11 Kybernetika 11 Soft Computing 9 Journal of Optimization Theory and Applications 9 Mathematical and Computer Modelling 9 Multidimensional Systems and Signal Processing 9 Nonlinear Analysis. Modelling and Control 8 Journal of Computational and Applied Mathematics 8 SIAM Journal on Control and Optimization 8 Journal of Robotic Systems 8 Linear Algebra and its Applications 8 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 8 Algorithms 6 Dynamics and Control 6 Chaos 6 Nonlinear Analysis. Real World Applications 6 Science China. Information Sciences 6 Symmetry 5 International Journal of General Systems 5 Applied Mathematics Letters 5 International Journal of Computer Mathematics 5 Journal of Computer and Systems Sciences International 5 Computational and Applied Mathematics 5 Science in China. Series F 5 Advances in Mathematical Physics 5 Arabian Journal for Science and Engineering 5 Journal of Mathematics 4 Biological Cybernetics 4 Computer Methods in Applied Mechanics and Engineering 4 Mathematical Biosciences 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Cybernetics and Systems 4 Stochastic Analysis and Applications 4 Journal of Difference Equations and Applications 4 International Journal of Computational Fluid Dynamics 4 Multibody System Dynamics 4 Mathematical and Computer Modelling of Dynamical Systems 4 Discrete and Continuous Dynamical Systems. Series B 3 Applied Mathematics and Mechanics. (English Edition) 3 International Journal of Approximate Reasoning 3 Journal of Global Optimization 3 Numerical Algorithms 3 Journal of Statistical Computation and Simulation 3 Fractional Calculus & Applied Analysis 3 Journal of Applied Statistics 3 Mathematics in Computer Science 3 Computational & Mathematical Methods in Medicine 3 Journal of Applied Analysis and Computation 3 Control Theory and Technology 2 Journal of Mathematical Analysis and Applications 2 Mathematical Methods in the Applied Sciences 2 Kybernetes 2 Meccanica 2 Journal of Time Series Analysis 2 International Journal of Production Research 2 Journal of Scientific Computing 2 Journal of Intelligent & Robotic Systems 2 European Journal of Operational Research 2 Archives of Control Sciences 2 Advances in Computational Mathematics 2 Bernoulli 2 Journal of Inequalities and Applications 2 Journal of Dynamical and Control Systems ...and 90 more Journals
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#### Cited in 41 Fields

 3,531 Systems theory; control (93-XX) 234 Computer science (68-XX) 202 Biology and other natural sciences (92-XX) 192 Probability theory and stochastic processes (60-XX) 191 Ordinary differential equations (34-XX) 183 Operations research, mathematical programming (90-XX) 164 Information and communication theory, circuits (94-XX) 124 Statistics (62-XX) 120 Mechanics of particles and systems (70-XX) 108 Numerical analysis (65-XX) 95 Calculus of variations and optimal control; optimization (49-XX) 54 Linear and multilinear algebra; matrix theory (15-XX) 47 Dynamical systems and ergodic theory (37-XX) 42 Partial differential equations (35-XX) 29 Mechanics of deformable solids (74-XX) 23 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 19 Real functions (26-XX) 17 Difference and functional equations (39-XX) 14 Combinatorics (05-XX) 10 Fluid mechanics (76-XX) 10 Optics, electromagnetic theory (78-XX) 9 History and biography (01-XX) 9 Operator theory (47-XX) 8 Mathematical logic and foundations (03-XX) 8 Geophysics (86-XX) 7 Approximations and expansions (41-XX) 4 General and overarching topics; collections (00-XX) 4 Special functions (33-XX) 4 Quantum theory (81-XX) 3 Number theory (11-XX) 3 Convex and discrete geometry (52-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Field theory and polynomials (12-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral equations (45-XX) 2 Differential geometry (53-XX) 1 Measure and integration (28-XX) 1 Abstract harmonic analysis (43-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX)