# zbMATH — the first resource for mathematics

## Mathematical Control and Related Fields

 Short Title: Math. Control Relat. Fields Publisher: American Institute of Mathematical Sciences (AIMS), Springfield, MO ISSN: 2156-8472; 2156-8499/e Online: http://aimsciences.org/journals/home.jsp?journalID=23 Comments: Indexed cover-to-cover; Published electronic only as of 3 (2013). Print ISSN until then: 2156-8472
 Documents Indexed: 317 Publications (since 2011) References Indexed: 251 Publications with 7,082 References.
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#### Authors

 8 Yong, Jiongmin 6 Casas, Eduardo 6 Lou, Hongwei 5 Maniar, Lahcen 5 Rösch, Arnd 5 Trélat, Emmanuel 5 Tröltzsch, Fredi 5 Yin, George Gang 5 Zhang, Qing 4 Kunisch, Karl 4 Vexler, Boris 4 Zuazua, Enrique 3 Alabau-Boussouira, Fatiha 3 Ammar-Khodja, Farid 3 Bonnard, Bernard 3 Boyer, Franck 3 Cannarsa, Piermarco 3 Chen, Zengjing 3 Chyba, Monique 3 Clason, Christian 3 Cristofol, Michel 3 de Teresa, Luz 3 Fardigola, Larissa V. 3 Fernández-Cara, Enrique 3 Grüne, Lars 3 Hu, Ying 3 Huang, Jianhui 3 Kian, Yavar 3 Kogut, Peter I. 3 Ma, Jin 3 Mateos, Mariano 3 Piccoli, Benedetto 3 Prieur, Christophe 3 Sugny, Dominique 3 Tie, Jingzhi 3 Tucsnak, Marius 3 Wachsmuth, Daniel 3 Wu, Zhen 3 Yi, Fahuai 3 Zhang, Bingyu 3 Zhou, Xunyu 2 Alia, Ishak 2 Alvarez-Vázquez, Lino Jose 2 Benabdallah, Assia 2 Botkin, Nikolai D. 2 Boulakia, Muriel 2 Breiten, Tobias 2 Caillau, Jean-Baptiste 2 Chen, Shuping 2 Cots, Olivier 2 Duprez, Michel 2 Ervedoza, Sylvain 2 Frankowska, Hélène 2 Guan, Chonghu 2 Gugat, Martin 2 Guglielmi, Roberto 2 Guiver, Chris 2 Hegoburu, Nicolas 2 Herty, Michael Matthias 2 Hinze, Michael 2 Horsin, Thierry 2 Ji, Shaolin 2 Jin, Zhuo 2 Leugering, Günter 2 Li, Xun 2 Liang, Jin 2 Liu, Jingzhen 2 Liu, Xu 2 Lü, Qi 2 Martinez, Aurea 2 Matignon, Denis 2 Morancey, Morgan 2 Münch, Arnaud 2 Neitzel, Ira 2 Nicaise, Serge 2 Olive, Guillaume 2 Pazoto, Ademir Fernando 2 Peng, Shige 2 Pfeiffer, Laurent 2 Phung, Kim Dang 2 Rao, Bopeng 2 Raymond, Jean-Pierre 2 Rosier, Lionel 2 Sasane, Amol J. 2 Shi, Yufeng 2 Soccorsi, Eric 2 Takahashi, Takéo 2 Tang, Shanjian 2 Turova, Varvara L. 2 Wang, Gengsheng 2 Wang, Haiyang 2 Wang, Leyi 2 Wang, Lijuan 2 Wang, Tianxiao 2 Wang, Weihan 2 Wang, Yanqing 2 Wehbe, Ali 2 Wei, Jiaqin 2 Wu, Fuke 2 Xiong, Jie ...and 434 more Authors
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#### Fields

 184 Systems theory; control (93-XX) 159 Partial differential equations (35-XX) 122 Calculus of variations and optimal control; optimization (49-XX) 53 Probability theory and stochastic processes (60-XX) 37 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 31 Ordinary differential equations (34-XX) 28 Numerical analysis (65-XX) 16 Operator theory (47-XX) 15 Operations research, mathematical programming (90-XX) 14 Fluid mechanics (76-XX) 12 Mechanics of deformable solids (74-XX) 11 Dynamical systems and ergodic theory (37-XX) 11 Biology and other natural sciences (92-XX) 6 General and overarching topics; collections (00-XX) 6 Real functions (26-XX) 6 Differential geometry (53-XX) 6 Mechanics of particles and systems (70-XX) 6 Quantum theory (81-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Algebraic geometry (14-XX) 3 Functional analysis (46-XX) 2 History and biography (01-XX) 2 Topological groups, Lie groups (22-XX) 2 Measure and integration (28-XX) 2 Difference and functional equations (39-XX) 2 Information and communication theory, circuits (94-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Convex and discrete geometry (52-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX)

#### Citations contained in zbMATH Open

204 Publications have been cited 1,153 times in 983 Documents Cited by Year
Recent results on the controllability of linear coupled parabolic problems: a survey. Zbl 1235.93041
Ammar-Khodja, Farid; Benabdallah, Assia; González-Burgos, Manuel; De Teresa, Luz
2011
Time-inconsistent optimal control problems and the equilibrium HJB equation. Zbl 1251.93144
Yong, Jiongmin
2012
Inverse source problem with a final overdetermination for a fractional diffusion equation. Zbl 1241.35220
Sakamoto, Kenichi; Yamamoto, Masahiro
2011
Strict Lyapunov functions for semilinear parabolic partial differential equations. Zbl 1231.93097
Mazenc, Frédéric; Prieur, Christophe
2011
Sparse stabilization and optimal control of the Cucker-Smale model. Zbl 1275.49003
Caponigro, Marco; Fornasier, Massimo; Piccoli, Benedetto; Trélat, Emmanuel
2013
Control of a Korteweg-de Vries equation: a tutorial. Zbl 1281.93018
Cerpa, Eduardo
2014
Determination of time dependent factors of coefficients in fractional diffusion equations. Zbl 1348.35317
Fujishiro, Kenichi; Kian, Yavar
2016
A linear-quadratic optimal control problem for mean-field stochastic differential equations in infinite horizon. Zbl 1326.49051
Huang, Jianhui; Li, Xun; Yong, Jiongmin
2015
Characterizations of integral input-to-state stability for bilinear systems in infinite dimensions. Zbl 1370.37157
Mironchenko, Andrii; Ito, Hiroshi
2016
Exact controllability of scalar conservation laws with strict convex flux. Zbl 1310.35232
Adimurthi; Ghoshal, Shyam Sundar; Gowda, G. D. Veerappa
2014
A deterministic linear quadratic time-inconsistent optimal control problem. Zbl 1222.49043
Yong, Jiongmin
2011
Optimal control of a non-smooth semilinear elliptic equation. Zbl 1407.49026
Christof, Constantin; Meyer, Christian; Walther, Stephan; Clason, Christian
2018
Sparse initial data identification for parabolic PDE and its finite element approximations. Zbl 1327.35131
Casas, Eduardo; Vexler, Boris; Zuazua, Enrique
2015
Numerical null controllability of semi-linear 1-D heat equations: fixed point, least squares and Newton methods. Zbl 1264.35260
Fernández-Cara, Enrique; Münch, Arnaud
2012
The cost of controlling weakly degenerate parabolic equations by boundary controls. Zbl 1360.35104
Cannarsa, Piermarco; Martinez, Patrick; Vancostenoble, Judith
2017
Approximate controllability conditions for some linear 1D parabolic systems with space-dependent coefficients. Zbl 1303.93036
Boyer, Franck; Olive, Guillaume
2014
Stability of the determination of a time-dependent coefficient in parabolic equations. Zbl 1259.35221
2013
Global well-posedness and asymptotic behavior of a class of initial-boundary-value problem of the Korteweg-de Vries equation on a finite domain. Zbl 1219.35251
Rivas, Ivonne; Usman, Muhammad; Zhang, Bing-Yu
2011
Optimal sampled-data control, and generalizations on time scales. Zbl 1335.49031
Bourdin, Loïc; Trélat, Emmanuel
2016
Error estimates for Dirichlet control problems in polygonal domains: quasi-uniform meshes. Zbl 1407.65277
Apel, Thomas; Mateos, Mariano; Pfefferer, Johannes; Rösch, Arnd
2018
Optimal control problems of forward-backward stochastic Volterra integral equations. Zbl 1337.49044
Shi, Yufeng; Wang, Tianxiao; Yong, Jiongmin
2015
Ricci curvatures in Carnot groups. Zbl 1275.53034
Rifford, Ludovic
2013
Finite-time stabilization of a network of strings. Zbl 1332.93297
Alabau-Boussouira, Fatiha; Perrollaz, Vincent; Rosier, Lionel
2015
Energy decay estimates for some weakly coupled Euler-Bernoulli and wave equations with indirect damping mechanisms. Zbl 1246.93093
Tebou, Louis
2012
Control of a network of magnetic ellipsoidal samples. Zbl 1231.93013
Agarwal, Shruti; Carbou, Gilles; Labbé, Stéphane; Prieur, Christophe
2011
Controllability to trajectories for some parabolic systems of three and two equations by one control force. Zbl 1281.93017
Benabdallah, Assia; Cristofol, Michel; Gaitan, Patricia; De Teresa, Luz
2014
Local controllability of 1D Schrödinger equations with bilinear control and minimal time. Zbl 1281.93016
Beauchard, Karine; Morancey, Morgan
2014
Local controllability of the $$N$$-dimensional Boussinesq system with $$N - 1$$ scalar controls in an arbitrary control domain. Zbl 1259.35214
Carreño, Nicolás
2012
Observability of heat processes by transmutation without geometric restrictions. Zbl 1244.35028
Ervedoza, Sylvain; Zuazua, Enrique
2011
Regularity results for a time-optimal control problem in the space of probability measures. Zbl 1365.49024
Cavagnari, Giulia
2017
Exact controllability of linear stochastic differential equations and related problems. Zbl 1360.93109
Wang, Yanqing; Yang, Donghui; Yong, Jiongmin; Yu, Zhiyong
2017
Internal stabilization of a Mindlin-Timoshenko model by interior feedbacks. Zbl 1234.35271
Nicaise, Serge
2011
Indirect stabilization of weakly coupled systems with hybrid boundary conditions. Zbl 1241.93038
Alabau-Boussouira, Fatiha; Cannarsa, Piermarco; Guglielmi, Roberto
2011
Neumann boundary feedback stabilization for a nonlinear wave equation: A strict $$H^2$$-Lyapunov function. Zbl 1366.76079
Gugat, Martin; Leugering, Günter; Wang, Ke
2017
Optimal control of the coefficient for the regional fractional $$p$$-Laplace equation: approximation and convergence. Zbl 1423.35388
2019
Controllability under positivity constraints of semilinear heat equations. Zbl 1416.35142
Pighin, Dario; Zuazua, Enrique
2018
Second order optimality conditions for optimal control of quasilinear parabolic equations. Zbl 1405.35095
Bonifacius, Lucas; Neitzel, Ira
2018
Decompositions and bang-bang properties. Zbl 1352.93020
Wang, Gengsheng; Zhang, Yubiao
2017
Transposition method for backward stochastic evolution equations revisited, and its application. Zbl 1316.93126
Lü, Qi; Zhang, Xu
2015
Time optimal control problems for some non-smooth systems. Zbl 1307.49018
Lou, Hongwei; Wen, Junjie; Xu, Yashan
2014
Optimal control for a phase field system with a possibly singular potential. Zbl 1335.49008
Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta
2016
Counting function for interior transmission eigenvalues. Zbl 1332.35242
Robbiano, Luc
2016
Internal control of the Schrödinger equation. Zbl 1281.93022
Laurent, Camille
2014
Numerical discretization of stabilization problems with boundary controls for systems of hyperbolic conservation laws. Zbl 1262.65068
Banda, Mapundi K.; Herty, Michael
2013
Approximate controllability of semilinear reaction diffusion equations. Zbl 1250.93032
Leiva, Hugo; Merentes, Nelson; Sánchez, José L.
2012
Time-inconsistent optimal control problem with random coefficients and stochastic equilibrium HJB equation. Zbl 1316.93127
Wang, Haiyang; Wu, Zhen
2015
Optimal $$L^2$$-control problem in coefficients for a linear elliptic equation. I: Existence result. Zbl 1326.49005
Horsin, Thierry; Kogut, Peter I.
2015
Stability estimates for a Robin coefficient in the two-dimensional Stokes system. Zbl 1302.35311
Boulakia, Muriel; Egloffe, Anne-Claire; Grandmont, Céline
2013
Time-delayed boundary feedback stabilization of the isothermal Euler equations with friction. Zbl 1368.76010
Gugat, Martin; Dick, Markus
2011
Finite element approximation of sparse parabolic control problems. Zbl 1369.49006
Casas, Eduardo; Mateos, Mariano; Rösch, Arnd
2017
Characterizations of equilibrium controls in time inconsistent mean-field stochastic linear quadratic problems. I. Zbl 1426.49036
Wang, Tianxiao
2019
Determining the waveguide conductivity in a hyperbolic equation from a single measurement on the lateral boundary. Zbl 1348.35314
Cristofol, Michel; Li, Shumin; Soccorsi, Eric
2016
Numerical study of polynomial feedback laws for a bilinear control problem. Zbl 1418.49002
Breiten, Tobias; Kunisch, Karl; Pfeiffer, Laurent
2018
Linear quadratic mean-field-game of backward stochastic differential systems. Zbl 1416.93198
Du, Kai; Huang, Jianhui; Wu, Zhen
2018
Stability and output feedback control for singular Markovian jump delayed systems. Zbl 1406.93365
Chen, Jian; Zhang, Tao; Zhang, Ziye; Lin, Chong; Chen, Bing
2018
Relative controllability of linear systems of fractional order with delay. Zbl 1332.93061
Mur, Therese; Henriquez, Hernan R.
2015
Asymptotic stability of Webster-Lokshin equation. Zbl 1308.35032
Matignon, Denis; Prieur, Christophe
2014
Global controllability and stabilizability of Kawahara equation on a periodic domain. Zbl 1322.93022
Zhao, Xiangqing; Zhang, Bing-Yu
2015
Local feedback stabilisation to a non-stationary solution for a damped non-linear wave equation. Zbl 1331.35235
Ammari, Kaïs; Duyckaerts, Thomas; Shirikyan, Armen
2016
A stochastic control problem and related free boundaries in finance. Zbl 1373.35343
Guan, Chonghu; Li, Xun; Xu, Zuo Quan; Yi, Fahuai
2017
An optimal consumption-investment model with constraint on consumption. Zbl 1414.91355
Xu, Zuo Quan; Yi, Fahuai
2016
Partial null controllability of parabolic linear systems. Zbl 1347.93053
Khodja, Farid Ammar; Chouly, Franz; Duprez, Michel
2016
Accessibility conditions of MIMO nonlinear control systems on homogeneous time scales. Zbl 1352.34118
Bartosiewicz, Zbigniew; Kotta, Ülle; Tõnso, Maris; Wyrwas, Małgorzata
2016
A relaxation result for state constrained inclusions in infinite dimension. Zbl 1348.34111
Frankowska, Helene; Marchini, Elsa Maria; Mazzola, Marco
2016
On the minimum time function around the origin. Zbl 1262.49042
Colombo, Giovanni; Nguyen, Khai T.
2013
The simplest semilinear parabolic equation of normal type. Zbl 1252.35158
Fursikov, Andrei
2012
A unified theory of maximum principle for continuous and discrete time optimal control problems. Zbl 1252.49033
Zhan, Zaidong; Chen, Shuping; Wei, Wei
2012
Global stabilization of a coupled system of two generalized Korteweg-de Vries type equations posed on a finite domain. Zbl 1235.93209
Nina, Dugan; Pazoto, Ademir Fernando; Rosier, Lionel
2011
Quantitative approximation properties for the fractional heat equation. Zbl 1442.35550
Rüland, Angkana; Salo, Mikko
2020
Optimal treatment for a phase field system of Cahn-Hilliard type modeling tumor growth by asymptotic scheme. Zbl 1453.35032
Signori, Andrea
2020
Phantom tracking method, homogeneity and rapid stabilization. Zbl 1272.93094
Coron, Jean-Michel
2013
Time-inconsistent optimal control problems with regime-switching. Zbl 1373.93385
Wei, Jiaqin
2017
Optimal control problem for exact synchronization of parabolic system. Zbl 1427.93042
Wang, Lijuan; Yan, Qishu
2019
A non-exponential discounting time-inconsistent stochastic optimal control problem for jump-diffusion. Zbl 1429.93413
Alia, Ishak
2019
A semidiscrete Galerkin scheme for backward stochastic parabolic differential equations. Zbl 1349.65493
Wang, Yanqing
2016
General boundary value problems of the Korteweg-de Vries equation on a bounded domain. Zbl 1420.35307
Capistrano-Filho, Roberto A.; Sun, Shuming; Zhang, Bing-Yu
2018
Analysis and optimal control of some quasilinear parabolic equations. Zbl 1416.35145
Casas, Eduardo; Chrysafinos, Konstantinos
2018
Compact perturbations of controlled systems. Zbl 1405.93037
Duprez, Michel; Olive, Guillaume
2018
Finite element error analysis for measure-valued optimal control problems governed by a 1D wave equation with variable coefficients. Zbl 1407.65203
Trautmann, Philip; Vexler, Boris; Zlotnik, Alexander
2018
Construction of Gevrey functions with compact support using the Bray-Mandelbrojt iterative process and applications to the moment method in control theory. Zbl 1360.93101
Lissy, Pierre
2017
Control and stabilization of $$2\times 2$$ hyperbolic systems on graphs. Zbl 1357.35212
Nicaise, Serge
2017
Continuous-time portfolio selection under ambiguity. Zbl 1336.91066
Jin, Hanqing; Zhou, Xun Yu
2015
Well-posedness and asymptotic stability for the Lamé system with infinite memories in a bounded domain. Zbl 1308.35003
Bchatnia, Ahmed; Guesmia, Aissa
2014
Multivariable boundary PI control and regulation of a fluid flow system. Zbl 1303.93095
Xu, Cheng-Zhong; Sallet, Gauthier
2014
Carleman inequalities for the two-dimensional heat equation in singular domains. Zbl 1262.35061
Belghazi, Abdelhakim; Smadhi, Ferroudja; Zaidi, Nawel; Zair, Ouahiba
2012
Controllability of the cubic Schroedinger equation via a low-dimensional source term. (Controllability of the cubic Schrödinger equation via a low-dimensional source term.) Zbl 1251.93037
Sarychev, Andrey
2012
Exact controllability of a multilayer Rao-Nakra plate with free boundary conditions. Zbl 1231.93015
Hansen, Scott W.; Imanuvilov, Oleg Yu
2011
Global Carleman estimate on a network for the wave equation and application to an inverse problem. Zbl 1234.35307
Baudouin, Lucie; Crépeau, Emmanuelle; Valein, Julie
2011
Numerical methods for dividend optimization using regime-switching jump-diffusion models. Zbl 1222.93237
Jin, Zhuo; Yin, George; Yang, Hailiang
2011
Pathwise Taylor expansions for Itô random fields. Zbl 1255.60087
Buckdahn, Rainer; Bulla, Ingo; Ma, Jin
2011
Optimal control of a vector-host epidemics model. Zbl 1244.49043
Kong, Qingkai; Qiu, Zhipeng; Sang, Zi; Zou, Yun
2011
Controllability of fractional dynamical systems: a functional analytic approach. Zbl 1373.93064
Govindaraj, Venkatesan; George, Raju K.
2017
Controllability for a string with attached masses and Riesz bases for asymmetric spaces. Zbl 1429.93035
Avdonin, Sergei; Edward, Julian
2019
Application of the boundary control method to partial data Borg-Levinson inverse spectral problem. Zbl 1423.35450
Kian, Yavar; Morancey, Morgan; Oksanen, Lauri
2019
Asymptotic stability of wave equations coupled by velocities. Zbl 1345.93135
Cui, Yan; Wang, Zhiqiang
2016
Second-order necessary conditions for optimal control of semilinear elliptic equations with leading term containing controls. Zbl 1407.49028
Lou, Hongwei; Yong, Jiongmin
2018
Error analysis for global minima of semilinear optimal control problems. Zbl 07006608
2018
Tikhonov regularization of optimal control problems governed by semi-linear partial differential equations. Zbl 1407.49031
Pörner, Frank; Wachsmuth, Daniel
2018
Optimal blowup/quenching time for controlled autonomous ordinary differential equations. Zbl 1322.49037
Lou, Hongwei; Wang, Weihan
2015
Razumikhin-type theorems on moment exponential stability of functional differential equations involving two-time-scale Markovian switching. Zbl 1323.34091
Wu, Fuke; Yin, George; Wang, Le Yi
2015
Mean-field stochastic linear-quadratic optimal control problems: weak closed-loop solvability. Zbl 1461.93553
Sun, Jingrui; Wang, Hanxiao
2021
On the relation between turnpike properties and dissipativity for continuous time linear quadratic optimal control problems. Zbl 1462.49058
Grüne, Lars; Guglielmi, Roberto
2021
Fractional optimal control problems on a star graph: optimality system and numerical solution. Zbl 1460.34017
Mehandiratta, Vaibhav; Mehra, Mani; Leugering, Günter
2021
Quantitative approximation properties for the fractional heat equation. Zbl 1442.35550
Rüland, Angkana; Salo, Mikko
2020
Optimal treatment for a phase field system of Cahn-Hilliard type modeling tumor growth by asymptotic scheme. Zbl 1453.35032
Signori, Andrea
2020
A moment approach for entropy solutions to nonlinear hyperbolic PDEs. Zbl 1437.35473
Marx, Swann; Weisser, Tillmann; Henrion, Didier; Lasserre, Jean Bernard
2020
Minimal time of null controllability of two parabolic equations. Zbl 1442.93010
Ouaili, Lydia
2020
A Poincaré-Bendixson theorem for hybrid systems. Zbl 1442.34072
Clark, William; Bloch, Anthony; Colombo, Leonardo
2020
Sparse optimal control for the heat equation with mixed control-state constraints. Zbl 1455.49013
Casas, Eduardo; Tröltzsch, Fredi
2020
Optimality conditions in variational form for non-linear constrained stochastic control problems. Zbl 1452.90230
Pfeiffer, Laurent
2020
Optimal periodic control for scalar dynamics under integral constraint on the input. Zbl 1455.49001
Bayen, Térence; Rapaport, Alain; Tani, Fatima-Zahra
2020
Boundary null-controllability of semi-discrete coupled parabolic systems in some multi-dimensional geometries. Zbl 1448.93023
Allonsius, Damien; Boyer, Franck
2020
Free boundaries of credit rating migration in switching macro regions. Zbl 1441.35241
Wu, Yuan; Liang, Jin
2020
Singular control of SPDEs with space-mean dynamics. Zbl 1459.60135
Agram, Nacira; Hilbert, Astrid; Øksendal, Bernt
2020
Optimal control of the coefficient for the regional fractional $$p$$-Laplace equation: approximation and convergence. Zbl 1423.35388
2019
Characterizations of equilibrium controls in time inconsistent mean-field stochastic linear quadratic problems. I. Zbl 1426.49036
Wang, Tianxiao
2019
Optimal control problem for exact synchronization of parabolic system. Zbl 1427.93042
Wang, Lijuan; Yan, Qishu
2019
A non-exponential discounting time-inconsistent stochastic optimal control problem for jump-diffusion. Zbl 1429.93413
Alia, Ishak
2019
Controllability for a string with attached masses and Riesz bases for asymmetric spaces. Zbl 1429.93035
Avdonin, Sergei; Edward, Julian
2019
Application of the boundary control method to partial data Borg-Levinson inverse spectral problem. Zbl 1423.35450
Kian, Yavar; Morancey, Morgan; Oksanen, Lauri
2019
Approximation of controls for linear wave equations: a first order mixed formulation. Zbl 1443.93034
Montaner, Santiago; Münch, Arnaud
2019
A fully nonlinear free boundary problem arising from optimal dividend and risk control model. Zbl 1427.93276
Guan, Chonghu; Yi, Fahuai; Chen, Xiaoshan
2019
Decay rates for stabilization of linear continuous-time systems with random switching. Zbl 1425.93228
Colonius, Fritz; Mazanti, Guilherme
2019
On algebraic condition for null controllability of some coupled degenerate systems. Zbl 1423.35150
El Mustapha, Ait Ben Hassi; Mohamed, Fadili; Maniar, Lahcen
2019
Insensitizing controls for a semilinear parabolic equation: a numerical approach. Zbl 1423.35144
Boyer, Franck; Hernández-Santamaría, Víctor; De Teresa, Luz
2019
A partially observed non-zero sum differential game of forward-backward stochastic differential equations and its application in finance. Zbl 1426.49041
Xiong, Jie; Zhang, Shuaiqi; Zhuang, Yi
2019
Optimal control and zero-sum games for Markov chains of mean-field type. Zbl 1427.60105
Choutri, Salah Eddine; Djehiche, Boualem; Tembine, Hamidou
2019
Stabilization of multidimensional wave equation with locally boundary fractional dissipation law under geometric conditions. Zbl 1426.35025
2019
Randomized algorithms for stabilizing switching signals. Zbl 1425.93139
Balachandran, Niranjan; Kundu, Atreyee; Chatterjee, Debasish
2019
Extension of the strong law of large numbers for capacities. Zbl 1448.60068
Chen, Zengjing; Huang, Weihuan; Wu, Panyu
2019
Boundary controllability for a one-dimensional heat equation with a singular inverse-square potential. Zbl 1423.35130
Biccari, Umberto
2019
Strong stabilization of (almost) impedance passive systems by static output feedback. Zbl 1441.93219
Curtain, Ruth F.; Weiss, George
2019
Backward uniqueness results for some parabolic equations in an infinite rod. Zbl 1442.35178
Dardé, Jérémi; Ervedoza, Sylvain
2019
Local null controllability of a rigid body moving into a Boussinesq flow. Zbl 1437.35547
Roy, Arnab; Takahashi, Takéo
2019
Optimal control of a non-smooth semilinear elliptic equation. Zbl 1407.49026
Christof, Constantin; Meyer, Christian; Walther, Stephan; Clason, Christian
2018
Error estimates for Dirichlet control problems in polygonal domains: quasi-uniform meshes. Zbl 1407.65277
Apel, Thomas; Mateos, Mariano; Pfefferer, Johannes; Rösch, Arnd
2018
Controllability under positivity constraints of semilinear heat equations. Zbl 1416.35142
Pighin, Dario; Zuazua, Enrique
2018
Second order optimality conditions for optimal control of quasilinear parabolic equations. Zbl 1405.35095
Bonifacius, Lucas; Neitzel, Ira
2018
Numerical study of polynomial feedback laws for a bilinear control problem. Zbl 1418.49002
Breiten, Tobias; Kunisch, Karl; Pfeiffer, Laurent
2018
Linear quadratic mean-field-game of backward stochastic differential systems. Zbl 1416.93198
Du, Kai; Huang, Jianhui; Wu, Zhen
2018
Stability and output feedback control for singular Markovian jump delayed systems. Zbl 1406.93365
Chen, Jian; Zhang, Tao; Zhang, Ziye; Lin, Chong; Chen, Bing
2018
General boundary value problems of the Korteweg-de Vries equation on a bounded domain. Zbl 1420.35307
Capistrano-Filho, Roberto A.; Sun, Shuming; Zhang, Bing-Yu
2018
Analysis and optimal control of some quasilinear parabolic equations. Zbl 1416.35145
Casas, Eduardo; Chrysafinos, Konstantinos
2018
Compact perturbations of controlled systems. Zbl 1405.93037
Duprez, Michel; Olive, Guillaume
2018
Finite element error analysis for measure-valued optimal control problems governed by a 1D wave equation with variable coefficients. Zbl 1407.65203
Trautmann, Philip; Vexler, Boris; Zlotnik, Alexander
2018
Second-order necessary conditions for optimal control of semilinear elliptic equations with leading term containing controls. Zbl 1407.49028
Lou, Hongwei; Yong, Jiongmin
2018
Error analysis for global minima of semilinear optimal control problems. Zbl 07006608
2018
Tikhonov regularization of optimal control problems governed by semi-linear partial differential equations. Zbl 1407.49031
Pörner, Frank; Wachsmuth, Daniel
2018
Necessary conditions for infinite horizon optimal control problems with state constraints. Zbl 1422.49022
Basco, Vincenzo; Cannarsa, Piermarco; Frankowska, Hélène
2018
Null controllability of the Lotka-McKendrick system with spatial diffusion. Zbl 1417.92131
Hegoburu, Nicolas; Tucsnak, Marius
2018
Carleman commutator approach in logarithmic convexity for parabolic equations. Zbl 1416.35132
Phung, Kim Dang
2018
Time-inconsistent recursive zero-sum stochastic differential games. Zbl 1418.49040
Wei, Qingmeng; Yu, Zhiyong
2018
Frequency-sparse optimal quantum control. Zbl 1407.49006
Friesecke, Gero; Henneke, Felix; Kunisch, Karl
2018
Water artificial circulation for eutrophication control. Zbl 1407.49029
Martínez, Aurea; Fernández, Francisco J.; Alvarez-Vázquez, Lino J.
2018
Operator-valued backward stochastic Lyapunov equations in infinite dimensions, and its application. Zbl 1405.93233
Lü, Qi; Zhang, Xu
2018
Asymptotic behavior of a Schrödinger equation under a constrained boundary feedback. Zbl 1406.81024
Cui, Haoyue; Liu, Dongyi; Xu, Genqi
2018
Existence for nonlinear finite dimensional stochastic differential equations of subgradient type. Zbl 1419.60048
Barbu, Viorel
2018
Quadratic BSDEs with mean reflection. Zbl 1419.60043
Hibon, Hélène; Hu, Ying; Lin, Yiqing; Luo, Peng; Wang, Falei
2018
Weak stability of a laminated beam. Zbl 1421.35023
Li, Yanfang; Liu, Zhuangyi; Wang, Yang
2018
Optimal control problems for some ordinary differential equations with behavior of blowup or quenching. Zbl 1419.49005
Lin, Ping; Wang, Weihan
2018
Controllability and observability of some coupled stochastic parabolic systems. Zbl 1417.93073
Liu, Lingyang; Liu, Xu
2018
Recurrence for switching diffusion with past dependent switching and countable state space. Zbl 1419.60056
Nguyen, Dang H.; Yin, George
2018
Quantitative unique continuation for the heat equation with Coulomb potentials. Zbl 1418.35054
Zhang, Can
2018
Optimal voltage control of non-stationary Eddy current problems. Zbl 1406.35384
Tröltzsch, Fredi; Valli, Alberto
2018
On the switching behavior of sparse optimal controls for the one-dimensional heat equation. Zbl 1407.49032
Tröltzsch, Fredi; Wachsmuth, Daniel
2018
The cost of controlling weakly degenerate parabolic equations by boundary controls. Zbl 1360.35104
Cannarsa, Piermarco; Martinez, Patrick; Vancostenoble, Judith
2017
Regularity results for a time-optimal control problem in the space of probability measures. Zbl 1365.49024
Cavagnari, Giulia
2017
Exact controllability of linear stochastic differential equations and related problems. Zbl 1360.93109
Wang, Yanqing; Yang, Donghui; Yong, Jiongmin; Yu, Zhiyong
2017
Neumann boundary feedback stabilization for a nonlinear wave equation: A strict $$H^2$$-Lyapunov function. Zbl 1366.76079
Gugat, Martin; Leugering, Günter; Wang, Ke
2017
Decompositions and bang-bang properties. Zbl 1352.93020
Wang, Gengsheng; Zhang, Yubiao
2017
Finite element approximation of sparse parabolic control problems. Zbl 1369.49006
Casas, Eduardo; Mateos, Mariano; Rösch, Arnd
2017
A stochastic control problem and related free boundaries in finance. Zbl 1373.35343
Guan, Chonghu; Li, Xun; Xu, Zuo Quan; Yi, Fahuai
2017
Time-inconsistent optimal control problems with regime-switching. Zbl 1373.93385
Wei, Jiaqin
2017
Construction of Gevrey functions with compact support using the Bray-Mandelbrojt iterative process and applications to the moment method in control theory. Zbl 1360.93101
Lissy, Pierre
2017
Control and stabilization of $$2\times 2$$ hyperbolic systems on graphs. Zbl 1357.35212
Nicaise, Serge
2017
Controllability of fractional dynamical systems: a functional analytic approach. Zbl 1373.93064
Govindaraj, Venkatesan; George, Raju K.
2017
Existence of optimal solutions to Lagrange problem for a fractional nonlinear control system with Riemann-Liouville derivative. Zbl 1367.26019
Idczak, Dariusz; Kamocki, Rafał
2017
Necessary conditions for a weak minimum in a general optimal control problem with integral equations on a variable time interval. Zbl 1377.49023
Dmitruk, Andrei V.; Osmolovskii, Nikolai P.
2017
Quantification of the unique continuation property for the heat equation. Zbl 1366.35234
Bourgeois, Laurent
2017
Boundary feedback stabilization of the monodomain equations. Zbl 1366.35081
Breiten, Tobias; Kunisch, Karl
2017
A discrete hierarchy of double bracket equations and a class of negative power series. Zbl 1354.15012
Reyes, Nancy López; Babilonia, Luis E. Benítez
2017
Determination of time dependent factors of coefficients in fractional diffusion equations. Zbl 1348.35317
Fujishiro, Kenichi; Kian, Yavar
2016
Characterizations of integral input-to-state stability for bilinear systems in infinite dimensions. Zbl 1370.37157
Mironchenko, Andrii; Ito, Hiroshi
2016
Optimal sampled-data control, and generalizations on time scales. Zbl 1335.49031
Bourdin, Loïc; Trélat, Emmanuel
2016
Optimal control for a phase field system with a possibly singular potential. Zbl 1335.49008
Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta
2016
Counting function for interior transmission eigenvalues. Zbl 1332.35242
Robbiano, Luc
2016
Determining the waveguide conductivity in a hyperbolic equation from a single measurement on the lateral boundary. Zbl 1348.35314
Cristofol, Michel; Li, Shumin; Soccorsi, Eric
2016
Local feedback stabilisation to a non-stationary solution for a damped non-linear wave equation. Zbl 1331.35235
Ammari, Kaïs; Duyckaerts, Thomas; Shirikyan, Armen
2016
An optimal consumption-investment model with constraint on consumption. Zbl 1414.91355
Xu, Zuo Quan; Yi, Fahuai
2016
Partial null controllability of parabolic linear systems. Zbl 1347.93053
Khodja, Farid Ammar; Chouly, Franz; Duprez, Michel
2016
Accessibility conditions of MIMO nonlinear control systems on homogeneous time scales. Zbl 1352.34118
Bartosiewicz, Zbigniew; Kotta, Ülle; Tõnso, Maris; Wyrwas, Małgorzata
2016
A relaxation result for state constrained inclusions in infinite dimension. Zbl 1348.34111
Frankowska, Helene; Marchini, Elsa Maria; Mazzola, Marco
2016
A semidiscrete Galerkin scheme for backward stochastic parabolic differential equations. Zbl 1349.65493
Wang, Yanqing
2016
Asymptotic stability of wave equations coupled by velocities. Zbl 1345.93135
Cui, Yan; Wang, Zhiqiang
2016
An optimal control approach to ciliary locomotion. Zbl 1457.76214
San Martín, Jorge; Takahashi, Takéo; Tucsnak, Marius
2016
An infinite time horizon portfolio optimization model with delays. Zbl 1348.91259
Pang, Tao; Hussain, Azmat
2016
Quantification of the unique continuation property for the nonstationary Stokes problem. Zbl 1331.35383
Boulakia, Muriel
2016
Exponential stabilization of Timoshenko beam with input and output delays. Zbl 1347.93220
Liu, Xiu-Fang; Xu, Gen-Qi
2016
Optimal control of a two-phase flow model with state constraints. Zbl 1351.35242
Tachim-Medjo, Theodore
2016
An optimal control model of carbon reduction and trading. Zbl 1348.93277
Guo, Huaying; Liang, Jin
2016
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#### Cited by 1,201 Authors

 20 Kian, Yavar 18 Zuazua, Enrique 15 Yamamoto, Masahiro 14 Trélat, Emmanuel 14 Yong, Jiongmin 13 Wang, Tianxiao 12 Fernández-Cara, Enrique 12 Kunisch, Karl 11 Coron, Jean-Michel 10 Cannarsa, Piermarco 10 Casas, Eduardo 10 Krstić, Miroslav 10 Li, Xun 9 Cerpa, Eduardo 9 Gugat, Martin 9 Lissy, Pierre 9 Marigonda, Antonio 9 Mateos, Mariano 9 Mironchenko, Andrii 9 Münch, Arnaud 9 Piccoli, Benedetto 9 Prieur, Christophe 9 Sun, Jingrui 8 Alabau-Boussouira, Fatiha 8 Dwivedi, Sharad 8 Ghoshal, Shyam Sundar 8 Vexler, Boris 8 Wei, Jiaqin 7 Antil, Harbir 7 Carreño, Nicolás 7 Cavagnari, Giulia 7 Chen, Mo 7 de Teresa, Luz 7 González-Burgos, Manuel 7 Malinowska, Agnieszka Barbara 7 Martinez, Patrick 7 Wang, Gengsheng 6 Ammar-Khodja, Farid 6 Benabdallah, Assia 6 Boyer, Franck 6 Capistrano-Filho, Roberto A. 6 Choulli, Mourad 6 Dubey, Shruti A. 6 Duprez, Michel 6 Fornasier, Massimo 6 Frankowska, Hélène 6 Herty, Michael Matthias 6 Hu, Guanghui 6 Liu, Yikan 6 Odzijewicz, Tatiana 6 Rizzi, Luca 6 Rodrigues, Sérgio S. 6 Signori, Andrea 6 Tatar, Salih 6 Vancostenoble, Judith 6 Wang, Hanxiao 6 Yu, Zhiyong 6 Zhang, Yangwen 5 Albi, Giacomo 5 Ammari, Kais 5 Barilari, Davide 5 Beauchard, Karine 5 Bourdin, Loïc 5 Colli, Pierluigi 5 Ervedoza, Sylvain 5 Fursikov, Andreĭ Vladimirovich 5 Jin, Zhuo 5 Karafyllis, Iasson 5 Le Balc’h, Kévin 5 Li, Tatsien 5 Limaco, Juan 5 Liu, Xu 5 Lou, Hongwei 5 Maniar, Lahcen 5 Nicaise, Serge 5 Oksanen, Lauri 5 Olive, Guillaume 5 Pfeiffer, Laurent 5 Rosier, Lionel 5 Rossi, Francesco 5 Singler, John R. 5 Soccorsi, Eric 5 Tebou, Louis T. 5 Trautmann, Philip 5 Tröltzsch, Fredi 5 Ulusoy, Suleyman 5 Wei, Qingmeng 5 Xiong, Jie 5 Zhang, Bingyu 5 Zhang, Weihai 5 Zheng, Jun 5 Zhu, Guchuan 4 Araruna, Fágner Dias 4 Avdonin, Sergeĭ Anatol’evich 4 Bonnard, Bernard 4 Breiten, Tobias 4 Burman, Erik 4 Caponigro, Marco 4 Chowdhury, Shirshendu 4 Christof, Constantin ...and 1,101 more Authors
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#### Cited in 198 Journals

 89 SIAM Journal on Control and Optimization 70 Mathematical Control and Related Fields 64 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 36 Journal of Mathematical Analysis and Applications 32 Journal of Differential Equations 29 Automatica 29 Systems & Control Letters 21 MCSS. Mathematics of Control, Signals, and Systems 21 Journal de Mathématiques Pures et Appliquées. Neuvième Série 19 Applied Mathematics and Optimization 17 Inverse Problems 14 Acta Applicandae Mathematicae 12 Computers & Mathematics with Applications 12 Evolution Equations and Control Theory 11 Journal of Optimization Theory and Applications 11 SIAM Journal on Mathematical Analysis 11 Mathematical Problems in Engineering 11 Discrete and Continuous Dynamical Systems. Series B 11 Comptes Rendus. Mathématique. Académie des Sciences, Paris 10 Applicable Analysis 10 Journal of the Franklin Institute 10 Journal of Computational and Applied Mathematics 10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 9 Networks and Heterogeneous Media 9 Inverse Problems and Imaging 8 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 8 Computational Optimization and Applications 8 Journal of Dynamical and Control Systems 7 Journal of Inverse and Ill-Posed Problems 7 Discrete and Continuous Dynamical Systems. Series S 6 International Journal of Control 6 ZAMP. Zeitschrift für angewandte Mathematik und Physik 6 Journal of Functional Analysis 6 Journal of Scientific Computing 6 Stochastic Processes and their Applications 6 Calculus of Variations and Partial Differential Equations 6 Journal of Evolution Equations 5 Numerische Mathematik 5 SIAM Journal on Numerical Analysis 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 5 SIAM Journal on Optimization 5 Computational and Applied Mathematics 5 NoDEA. Nonlinear Differential Equations and Applications 5 Discrete and Continuous Dynamical Systems 5 Vietnam Journal of Mathematics 5 Fractional Calculus & Applied Analysis 4 Archive for Rational Mechanics and Analysis 4 Mathematical Methods in the Applied Sciences 4 Mathematics of Computation 4 Chinese Annals of Mathematics. Series B 4 European Journal of Control 4 Abstract and Applied Analysis 4 Journal of Systems Science and Complexity 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 SIAM Journal on Financial Mathematics 4 S$$\vec{\text{e}}$$MA Journal 4 Probability, Uncertainty and Quantitative Risk 3 Applied Mathematics and Computation 3 Inventiones Mathematicae 3 Mathematische Annalen 3 Transactions of the American Mathematical Society 3 Insurance Mathematics & Economics 3 Applied Numerical Mathematics 3 Acta Mathematicae Applicatae Sinica. English Series 3 Communications in Partial Differential Equations 3 SIAM Journal on Scientific Computing 3 Differential Equations 3 Communications on Pure and Applied Analysis 3 Inverse Problems in Science and Engineering 3 Analysis & PDE 3 Science China. Mathematics 3 Dynamic Games and Applications 3 Journal of Applied Analysis and Computation 2 Indian Journal of Pure & Applied Mathematics 2 Mathematical Biosciences 2 Nonlinearity 2 Mathematics of Operations Research 2 Memoirs of the American Mathematical Society 2 Numerical Functional Analysis and Optimization 2 Statistics & Probability Letters 2 Applied Mathematics Letters 2 Asymptotic Analysis 2 European Journal of Applied Mathematics 2 The Annals of Applied Probability 2 SIAM Journal on Applied Mathematics 2 Potential Analysis 2 Journal of Mathematical Sciences (New York) 2 Advances in Computational Mathematics 2 Complexity 2 Journal of Applied Analysis 2 Taiwanese Journal of Mathematics 2 Mathematical Methods of Operations Research 2 Discrete Dynamics in Nature and Society 2 Communications in Nonlinear Science and Numerical Simulation 2 Nonlinear Analysis. Modelling and Control 2 Mathematical Modelling and Analysis 2 Stochastics and Dynamics 2 SIAM Journal on Applied Dynamical Systems 2 Advances in Difference Equations 2 Boundary Value Problems ...and 98 more Journals
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#### Cited in 43 Fields

 558 Partial differential equations (35-XX) 527 Systems theory; control (93-XX) 271 Calculus of variations and optimal control; optimization (49-XX) 126 Numerical analysis (65-XX) 111 Probability theory and stochastic processes (60-XX) 91 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 50 Ordinary differential equations (34-XX) 48 Operator theory (47-XX) 47 Fluid mechanics (76-XX) 41 Operations research, mathematical programming (90-XX) 38 Mechanics of deformable solids (74-XX) 38 Biology and other natural sciences (92-XX) 27 Dynamical systems and ergodic theory (37-XX) 26 Real functions (26-XX) 18 Differential geometry (53-XX) 16 Integral equations (45-XX) 10 Global analysis, analysis on manifolds (58-XX) 10 Statistical mechanics, structure of matter (82-XX) 9 Difference and functional equations (39-XX) 9 Optics, electromagnetic theory (78-XX) 8 Computer science (68-XX) 8 Classical thermodynamics, heat transfer (80-XX) 7 Functional analysis (46-XX) 6 Special functions (33-XX) 6 Integral transforms, operational calculus (44-XX) 6 Mechanics of particles and systems (70-XX) 6 Quantum theory (81-XX) 5 Functions of a complex variable (30-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 Topological groups, Lie groups (22-XX) 3 Measure and integration (28-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Number theory (11-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 General topology (54-XX) 2 Geophysics (86-XX) 2 Information and communication theory, circuits (94-XX) 1 Mathematical logic and foundations (03-XX) 1 Algebraic geometry (14-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX)