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## Lü, Qi

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 Author ID: lu.qi Published as: Lu, Q.; Lu, Qi; Lü, Qi Homepage: https://scholar.google.com/citations?user=y6LG4xwAAAAJ&hl=en External Links: MGP · ResearchGate · dblp
 Documents Indexed: 49 Publications since 2006, including 2 Books Reviewing Activity: 3 Reviews
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#### Co-Authors

 10 single-authored 11 Zhang, Xu 5 Zuazua, Enrique 4 Yin, Zhongqi 3 Li, Hongheng 2 Coron, Jean-Michel 2 Fu, Xiaoyu 2 Liu, Xu 2 Wang, Gengsheng 2 Yong, Jiongmin 1 Fernández-Cara, Enrique 1 Li, Jing 1 Lou, Hongwei 1 Zhang, Xu
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#### Serials

 5 SIAM Journal on Control and Optimization 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Journal of Differential Equations 2 Inverse Problems 2 Journal of the European Mathematical Society (JEMS) 2 Mathematical Control and Related Fields 2 SpringerBriefs in Mathematics 1 Communications on Pure and Applied Mathematics 1 Journal of Mathematical Analysis and Applications 1 Applied Mathematics and Computation 1 Journal of Functional Analysis 1 Chinese Annals of Mathematics. Series B 1 Asymptotic Analysis 1 MCSS. Mathematics of Control, Signals, and Systems 1 Discrete and Continuous Dynamical Systems 1 Acta Mathematica Sinica. English Series 1 Journal of Systems Science and Complexity 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
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#### Fields

 28 Systems theory; control (93-XX) 19 Probability theory and stochastic processes (60-XX) 14 Partial differential equations (35-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 2 Ordinary differential equations (34-XX) 2 Functional analysis (46-XX) 1 General and overarching topics; collections (00-XX) 1 Numerical analysis (65-XX) 1 Mechanics of deformable solids (74-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH Open

37 Publications have been cited 302 times in 191 Documents Cited by Year
General Pontryagin-type stochastic maximum principle and backward stochastic evolution equations in infinite dimensions. Zbl 1316.49004
Lü, Qi; Zhang, Xu
2014
Bang-bang principle of time optimal controls and null controllability of fractional order parabolic equations. Zbl 1209.49008
Lü, Qi
2010
Local rapid stabilization for a Korteweg-de Vries equation with a Neumann boundary control on the right. Zbl 1302.35333
Coron, Jean-Michel; Lü, Qi
2014
Some results on the controllability of forward stochastic heat equations with control on the drift. Zbl 1213.60105
Lü, Qi
2011
Fredholm transform and local rapid stabilization for a Kuramoto-Sivashinsky equation. Zbl 1317.93209
Coron, Jean-Michel; Lü, Qi
2015
Observability estimate for stochastic Schrödinger equations and its applications. Zbl 1262.93021
Lü, Qi
2013
Representation of Itô integrals by Lebesgue/Bochner integrals. Zbl 1323.60076
Lü, Qi; Yong, Jiongmin; Zhang, Xu
2012
Exact controllability for stochastic Schrödinger equations. Zbl 1371.93040
Lü, Qi
2013
Null controllability for wave equations with memory. Zbl 1370.93051
Lü, Qi; Zhang, Xu; Zuazua, Enrique
2017
Exact controllability for stochastic transport equations. Zbl 1292.93034
Lü, Qi
2014
Carleman estimate for stochastic parabolic equations and inverse stochastic parabolic problems. Zbl 1236.35213
Lü, Qi
2012
Null controllability of linear heat and wave equations with nonlocal spatial terms. Zbl 1346.93071
Fernández-Cara, Enrique; Lü, Qi; Zuazua, Enrique
2016
Averaged controllability for random evolution Partial Differential Equations. Zbl 1332.93058
Lü, Qi; Zuazua, Enrique
2016
Global uniqueness for an inverse stochastic hyperbolic problem with three unknowns. Zbl 1315.60080
Lü, Qi; Zhang, Xu
2015
Robust null controllability for heat equations with unknown switching control mode. Zbl 1301.93028
Lü, Qi; Zuazua, Enrique
2014
Observability estimate and state observation problems for stochastic hyperbolic equations. Zbl 1292.60066
Lü, Qi
2013
A lower bound on local energy of partial sum of eigenfunctions for Laplace-Beltrami operators. Zbl 1258.93035
Lü, Qi
2013
Well-posedness of backward stochastic differential equations with general filtration. Zbl 1268.60087
Lü, Qi; Zhang, Xu
2013
On the existence of time optimal controls with constraints of the rectangular type for heat equations. Zbl 1228.49005
Lü, Qi; Wang, Gengsheng
2011
On the lack of controllability of fractional in time ODE and PDE. Zbl 1342.93027
Lü, Qi; Zuazua, Enrique
2016
Transposition method for backward stochastic evolution equations revisited, and its application. Zbl 1316.93126
Lü, Qi; Zhang, Xu
2015
Unique continuation for stochastic heat equations. Zbl 1316.60108
Lü, Qi; Yin, Zhongqi
2015
Recent progress on controllability/observability for systems governed by partial differential equations. Zbl 1201.93022
Li, Hongheng; Lü, Qi; Zhang, Xu
2010
Carleman estimates for second order partial differential operators and applications. A unified approach. Zbl 1445.35006
Fu, Xiaoyu; Lü, Qi; Zhang, Xu
2019
A quantitative boundary unique continuation for stochastic parabolic equations. Zbl 1272.60045
Li, Hongheng; Lü, Qi
2013
Bursting oscillations near codimension-two bifurcations in the Chay neuron model. Zbl 1401.92025
Duan, Lixia; Lu, Qishao
2006
An internal observability estimate for stochastic hyperbolic equations. Zbl 1350.93021
Fu, Xiaoyu; Liu, Xu; Lü, Qi; Zhang, Xu
2016
Stochastic well-posed systems and well-posedness of some stochastic partial differential equations with boundary control and observation. Zbl 1327.93358
Lü, Qi
2015
Null controllability for some systems of two backward stochastic heat equations with one control force. Zbl 1258.93029
Li, Hongheng; Lü, Qi
2012
A mini-course on stochastic control. Zbl 1425.93303
Lü, Qi; Zhang, Xu
2019
Well-posedness of stochastic Riccati equations and closed-loop solvability for stochastic linear quadratic optimal control problems. Zbl 1411.93197
Lü, Qi
2019
Partial approximate controllability for linear stochastic control systems. Zbl 1410.93019
Dou, Fangfang; Lu, Qi
2019
Operator-valued backward stochastic Lyapunov equations in infinite dimensions, and its application. Zbl 1405.93233
Lü, Qi; Zhang, Xu
2018
Erratum to: “Representation of Itô integrals by Lebesgue/Bochner integrals”. Zbl 1410.60052
Lü, Qi; Yong, Jiongmin; Zhang, Xu
2018
Characterization of optimal feedback for stochastic linear quadratic control problems. Zbl 1432.93384
Lü, Qi; Wang, Tianxiao; Zhang, Xu
2017
The $$L^\infty$$-null controllability of parabolic equation with equivalued surface boundary conditions. Zbl 1284.35212
Lü, Qi; Yin, Zhongqi
2013
State observation problem for general time reversible system and applications. Zbl 1207.93017
Li, Jing; Lü, Qi
2010
Carleman estimates for second order partial differential operators and applications. A unified approach. Zbl 1445.35006
Fu, Xiaoyu; Lü, Qi; Zhang, Xu
2019
A mini-course on stochastic control. Zbl 1425.93303
Lü, Qi; Zhang, Xu
2019
Well-posedness of stochastic Riccati equations and closed-loop solvability for stochastic linear quadratic optimal control problems. Zbl 1411.93197
Lü, Qi
2019
Partial approximate controllability for linear stochastic control systems. Zbl 1410.93019
Dou, Fangfang; Lu, Qi
2019
Operator-valued backward stochastic Lyapunov equations in infinite dimensions, and its application. Zbl 1405.93233
Lü, Qi; Zhang, Xu
2018
Erratum to: “Representation of Itô integrals by Lebesgue/Bochner integrals”. Zbl 1410.60052
Lü, Qi; Yong, Jiongmin; Zhang, Xu
2018
Null controllability for wave equations with memory. Zbl 1370.93051
Lü, Qi; Zhang, Xu; Zuazua, Enrique
2017
Characterization of optimal feedback for stochastic linear quadratic control problems. Zbl 1432.93384
Lü, Qi; Wang, Tianxiao; Zhang, Xu
2017
Null controllability of linear heat and wave equations with nonlocal spatial terms. Zbl 1346.93071
Fernández-Cara, Enrique; Lü, Qi; Zuazua, Enrique
2016
Averaged controllability for random evolution Partial Differential Equations. Zbl 1332.93058
Lü, Qi; Zuazua, Enrique
2016
On the lack of controllability of fractional in time ODE and PDE. Zbl 1342.93027
Lü, Qi; Zuazua, Enrique
2016
An internal observability estimate for stochastic hyperbolic equations. Zbl 1350.93021
Fu, Xiaoyu; Liu, Xu; Lü, Qi; Zhang, Xu
2016
Fredholm transform and local rapid stabilization for a Kuramoto-Sivashinsky equation. Zbl 1317.93209
Coron, Jean-Michel; Lü, Qi
2015
Global uniqueness for an inverse stochastic hyperbolic problem with three unknowns. Zbl 1315.60080
Lü, Qi; Zhang, Xu
2015
Transposition method for backward stochastic evolution equations revisited, and its application. Zbl 1316.93126
Lü, Qi; Zhang, Xu
2015
Unique continuation for stochastic heat equations. Zbl 1316.60108
Lü, Qi; Yin, Zhongqi
2015
Stochastic well-posed systems and well-posedness of some stochastic partial differential equations with boundary control and observation. Zbl 1327.93358
Lü, Qi
2015
General Pontryagin-type stochastic maximum principle and backward stochastic evolution equations in infinite dimensions. Zbl 1316.49004
Lü, Qi; Zhang, Xu
2014
Local rapid stabilization for a Korteweg-de Vries equation with a Neumann boundary control on the right. Zbl 1302.35333
Coron, Jean-Michel; Lü, Qi
2014
Exact controllability for stochastic transport equations. Zbl 1292.93034
Lü, Qi
2014
Robust null controllability for heat equations with unknown switching control mode. Zbl 1301.93028
Lü, Qi; Zuazua, Enrique
2014
Observability estimate for stochastic Schrödinger equations and its applications. Zbl 1262.93021
Lü, Qi
2013
Exact controllability for stochastic Schrödinger equations. Zbl 1371.93040
Lü, Qi
2013
Observability estimate and state observation problems for stochastic hyperbolic equations. Zbl 1292.60066
Lü, Qi
2013
A lower bound on local energy of partial sum of eigenfunctions for Laplace-Beltrami operators. Zbl 1258.93035
Lü, Qi
2013
Well-posedness of backward stochastic differential equations with general filtration. Zbl 1268.60087
Lü, Qi; Zhang, Xu
2013
A quantitative boundary unique continuation for stochastic parabolic equations. Zbl 1272.60045
Li, Hongheng; Lü, Qi
2013
The $$L^\infty$$-null controllability of parabolic equation with equivalued surface boundary conditions. Zbl 1284.35212
Lü, Qi; Yin, Zhongqi
2013
Representation of Itô integrals by Lebesgue/Bochner integrals. Zbl 1323.60076
Lü, Qi; Yong, Jiongmin; Zhang, Xu
2012
Carleman estimate for stochastic parabolic equations and inverse stochastic parabolic problems. Zbl 1236.35213
Lü, Qi
2012
Null controllability for some systems of two backward stochastic heat equations with one control force. Zbl 1258.93029
Li, Hongheng; Lü, Qi
2012
Some results on the controllability of forward stochastic heat equations with control on the drift. Zbl 1213.60105
Lü, Qi
2011
On the existence of time optimal controls with constraints of the rectangular type for heat equations. Zbl 1228.49005
Lü, Qi; Wang, Gengsheng
2011
Bang-bang principle of time optimal controls and null controllability of fractional order parabolic equations. Zbl 1209.49008
Lü, Qi
2010
Recent progress on controllability/observability for systems governed by partial differential equations. Zbl 1201.93022
Li, Hongheng; Lü, Qi; Zhang, Xu
2010
State observation problem for general time reversible system and applications. Zbl 1207.93017
Li, Jing; Lü, Qi
2010
Bursting oscillations near codimension-two bifurcations in the Chay neuron model. Zbl 1401.92025
Duan, Lixia; Lu, Qishao
2006
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#### Cited by 246 Authors

 18 Lü, Qi 11 Wang, Gengsheng 10 Zuazua, Enrique 8 Zhang, Xu 7 Coron, Jean-Michel 7 Liu, Xu 6 Gao, Peng 6 Zhang, Can 5 Wang, Yanqing 5 Yin, Zhongqi 4 Biccari, Umberto 4 Fu, Xiaoyu 4 Micu, Sorin 4 Orrieri, Carlo 4 Yang, Donghui 4 Yong, Jiongmin 4 Zhang, Yubiao 3 Chen, Mo 3 Clason, Christian 3 Dou, Fangfang 3 Gao, Hang 3 He, Yong 3 Kunisch, Karl 3 Lu, Qi 3 Olive, Guillaume 3 Phung, Kim Dang 3 Qin, Shulin 3 Warma, Mahamadi 3 Wu, Bin 3 Xu, Yashan 3 Zhang, MuMing 3 Zhong, Jie 3 Zhou, Xiuxiang 2 Cerpa, Eduardo 2 Chang, Yong-Kui 2 Chaves-Silva, Felipe Wallison 2 Chen, Qun 2 Fernández-Cara, Enrique 2 Frankowska, Hélène 2 Fuhrman, Marco 2 Gao, Ying 2 Hernández-Santamaría, Víctor 2 Hu, Long 2 Hu, Mingshang 2 Hu, Ying 2 Imanuvilov, Oleg Yu. 2 Jia, Chaohua 2 Lazar, Martin 2 Li, Lingfei 2 Limaco, Juan 2 Lohéac, Jérôme 2 Ma, Shiqi 2 Marx, Swann 2 Nguyen, Hoai-Minh 2 Qiu, Zhiping 2 Rund, Armin 2 Scarpa, Luca 2 Takahashi, Takéo 2 Trélat, Emmanuel 2 van Neerven, Jan M. A. M. 2 Wang, Chong 2 Wang, Lijuan 2 Wang, Ming 2 Wang, Tianxiao 2 Wang, Zewen 2 Wu, Panyu 2 Xiang, Shengquan 2 Xiong, Jie 2 Yamamoto, Masahiro 2 Yuan, Ganghua 2 Zhang, Guodong 1 Abdelli, Mouna 1 Akhmedov, Odiljon S. 1 Ammari, Kais 1 Andrieu, Vincent 1 Azamov, Abdulla Azamovich 1 Bakhramov, Jasurbek A. 1 Bank, Peter 1 Bao, Xiaobing 1 Barbu, Viorel 1 Barnard, Richard C. 1 Bashirov, Agamirza E. 1 Batal, Ahmet 1 Beauchard, Karine 1 Ben Belgacem, Ghada 1 Benner, Peter 1 Bi, Xiuchun 1 Buffe, Rémi 1 Butkovskiĭ, Anatoliĭ Grigor’evich 1 Cai, Ruiyang 1 Capistrano-Filho, Roberto A. 1 Chen, Ning 1 Chen, Qun 1 Chen, Shuping 1 Chen, Yangquan 1 Cheng, Songsong 1 Cheng, Yi 1 Chentouf, Boumediène 1 Clark, Marcondes Rodrigues 1 Coulson, Jeremy ...and 146 more Authors
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#### Cited in 59 Serials

 24 SIAM Journal on Control and Optimization 19 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 19 Mathematical Control and Related Fields 17 Journal of Differential Equations 14 Journal of Mathematical Analysis and Applications 10 Systems & Control Letters 7 Automatica 5 MCSS. Mathematics of Control, Signals, and Systems 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Discrete and Continuous Dynamical Systems 3 Inverse Problems 3 Journal of Optimization Theory and Applications 3 Journal of Inverse and Ill-Posed Problems 3 Evolution Equations and Control Theory 2 International Journal of Control 2 Applied Mathematics and Optimization 2 Journal of Functional Analysis 2 Chinese Annals of Mathematics. Series B 2 Positivity 2 Journal of the European Mathematical Society (JEMS) 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Advances in Difference Equations 2 Acta Mechanica Sinica 2 Electronic Research Archive 1 Archive for Rational Mechanics and Analysis 1 Bulletin of the Australian Mathematical Society 1 Communications in Mathematical Physics 1 Journal of the Franklin Institute 1 Mathematical Methods in the Applied Sciences 1 Chaos, Solitons and Fractals 1 Statistics & Probability Letters 1 Probability Theory and Related Fields 1 Journal of Scientific Computing 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Automation and Remote Control 1 SIAM Review 1 Stochastic Processes and their Applications 1 Journal of Nonlinear Science 1 NoDEA. Nonlinear Differential Equations and Applications 1 Taiwanese Journal of Mathematics 1 Journal of Inequalities and Applications 1 Fractional Calculus & Applied Analysis 1 Acta Mathematica Sinica. English Series 1 Communications in Nonlinear Science and Numerical Simulation 1 Journal of Dynamical and Control Systems 1 Qualitative Theory of Dynamical Systems 1 Nonlinear Analysis. Real World Applications 1 Journal of Evolution Equations 1 Journal of Systems Science and Complexity 1 Boundary Value Problems 1 Discrete and Continuous Dynamical Systems. Series S 1 Analysis & PDE 1 Science China. Mathematics 1 Advances in Pure and Applied Mathematics 1 Stochastic and Partial Differential Equations. Analysis and Computations 1 Journal of Function Spaces 1 Ural Mathematical Journal 1 Pure and Applied Analysis 1 Probability, Uncertainty and Quantitative Risk
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#### Cited in 25 Fields

 145 Systems theory; control (93-XX) 110 Partial differential equations (35-XX) 61 Probability theory and stochastic processes (60-XX) 46 Calculus of variations and optimal control; optimization (49-XX) 12 Ordinary differential equations (34-XX) 8 Numerical analysis (65-XX) 6 Mechanics of deformable solids (74-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Real functions (26-XX) 5 Operator theory (47-XX) 5 Biology and other natural sciences (92-XX) 4 Functional analysis (46-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Integral equations (45-XX) 3 Fluid mechanics (76-XX) 2 History and biography (01-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 General and overarching topics; collections (00-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX)