## Lü, Qi

Compute Distance To:
 Author ID: lu.qi Published as: Lü, Qi Homepage: https://scholar.google.com/citations?user=y6LG4xwAAAAJ&hl=en External Links: MGP · ResearchGate · dblp
 Documents Indexed: 51 Publications since 2010, including 3 Books 1 Contribution as Editor Reviewing Activity: 9 Reviews Co-Authors: 13 Co-Authors with 27 Joint Publications 998 Co-Co-Authors
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### Co-Authors

 12 single-authored 12 Zhang, Xu 5 Zuazua, Enrique 4 Yin, Zhongqi 3 Fu, Xiaoyu 3 Li, Hongheng 2 Coron, Jean-Michel 2 Dou, Fangfang 2 Frankowska, Hélène 2 Li, Na 2 Liu, Xu 2 Wang, Gengsheng 2 Yong, Jiongmin 1 Fernández-Cara, Enrique 1 Koul, Hira Lal 1 Li, Jing 1 Lou, Hongwei 1 Wang, Tianxiao 1 Zhang, Haisen 1 Zhou, Ruguang
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### Serials

 9 SIAM Journal on Control and Optimization 6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 Journal of Differential Equations 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Mathematical Control and Related Fields 2 Inverse Problems 2 Journal of the European Mathematical Society (JEMS) 2 SpringerBriefs in Mathematics 1 Communications on Pure and Applied Mathematics 1 Journal of Mathematical Analysis and Applications 1 Applied Mathematics and Computation 1 Biometrika 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 Vietnam Journal of Mathematics 1 Acta Mathematica Sinica. English Series 1 Journal of Liaoning Normal University. Natural Science Edition 1 Journal of Systems Science and Complexity 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Jiangsu Normal University. Natural Science Edition 1 Probability Theory and Stochastic Modelling 1 Probability, Uncertainty and Quantitative Risk
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### Fields

 40 Systems theory; control (93-XX) 26 Probability theory and stochastic processes (60-XX) 17 Partial differential equations (35-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 2 Ordinary differential equations (34-XX) 2 Functional analysis (46-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 Associative rings and algebras (16-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Mechanics of deformable solids (74-XX)

### Citations contained in zbMATH Open

40 Publications have been cited 398 times in 255 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
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
Bang-bang principle of time optimal controls and null controllability of fractional order parabolic equations. Zbl 1209.49008
Lü, Qi
2010
Null controllability for wave equations with memory. Zbl 1370.93051
Lü, Qi; Zhang, Xu; Zuazua, Enrique
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
Carleman estimate for stochastic parabolic equations and inverse stochastic parabolic problems. Zbl 1236.35213
Lü, Qi
2012
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
On the lack of controllability of fractional in time ODE and PDE. Zbl 1342.93027
Lü, Qi; Zuazua, Enrique
2016
Exact controllability for stochastic transport equations. Zbl 1292.93034
Lü, Qi
2014
A lower bound on local energy of partial sum of eigenfunctions for Laplace-Beltrami operators. Zbl 1258.93035
Lü, Qi
2013
Global uniqueness for an inverse stochastic hyperbolic problem with three unknowns. Zbl 1315.60080
Lü, Qi; Zhang, Xu
2015
Well-posedness of backward stochastic differential equations with general filtration. Zbl 1268.60087
Lü, Qi; Zhang, Xu
2013
Transposition method for backward stochastic evolution equations revisited, and its application. Zbl 1316.93126
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
On the existence of time optimal controls with constraints of the rectangular type for heat equations. Zbl 1228.49005
Lü, Qi; Wang, Gengsheng
2011
Carleman estimates for second order partial differential operators and applications. A unified approach. Zbl 1445.35006
Fu, Xiaoyu; Lü, Qi; Zhang, Xu
2019
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
Stochastic well-posed systems and well-posedness of some stochastic partial differential equations with boundary control and observation. Zbl 1327.93358
Lü, Qi
2015
Operator-valued backward stochastic Lyapunov equations in infinite dimensions, and its application. Zbl 1405.93233
Lü, Qi; Zhang, Xu
2018
A quantitative boundary unique continuation for stochastic parabolic equations. Zbl 1272.60045
Li, Hongheng; Lü, Qi
2013
Null controllability for some systems of two backward stochastic heat equations with one control force. Zbl 1258.93029
Li, Hongheng; Lü, Qi
2012
First and second order necessary optimality conditions for controlled stochastic evolution equations with control and state constraints. Zbl 1440.93265
Frankowska, Hélène; Lü, Qi
2020
The $$L^\infty$$-null controllability of parabolic equation with equivalued surface boundary conditions. Zbl 1284.35212
Lü, Qi; Yin, Zhongqi
2013
Finite codimensional controllability and optimal control problems with endpoint state constraints. Zbl 1441.93033
Liu, Xu; Lü, Qi; Zhang, Xu
2020
Characterization of optimal feedback for stochastic linear quadratic control problems. Zbl 1432.93384
Lü, Qi; Wang, Tianxiao; Zhang, Xu
2017
Partial approximate controllability for linear stochastic control systems. Zbl 1410.93019
Dou, Fangfang; Lu, Qi
2019
State observation problem for general time reversible system and applications. Zbl 1207.93017
Li, Jing; Lü, Qi
2010
Erratum to: “Representation of Itô integrals by Lebesgue/Bochner integrals”. Zbl 1410.60052
Lü, Qi; Yong, Jiongmin; Zhang, Xu
2018
An internal observability estimate for stochastic hyperbolic equations. Zbl 1350.93021
Fu, Xiaoyu; Liu, Xu; Lü, Qi; Zhang, Xu
2016
Time-inconsistent linear quadratic optimal control problems for stochastic evolution equations. Zbl 1440.93264
Dou, Fangfang; Lü, Qi
2020
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
Dependent generalized functional linear models. Zbl 07072340
Jadhav, S.; Koul, H. L.; Lu, Q.
2017
First and second order necessary optimality conditions for controlled stochastic evolution equations with control and state constraints. Zbl 1440.93265
Frankowska, Hélène; Lü, Qi
2020
Finite codimensional controllability and optimal control problems with endpoint state constraints. Zbl 1441.93033
Liu, Xu; Lü, Qi; Zhang, Xu
2020
Time-inconsistent linear quadratic optimal control problems for stochastic evolution equations. Zbl 1440.93264
Dou, Fangfang; Lü, Qi
2020
Carleman estimates for second order partial differential operators and applications. A unified approach. Zbl 1445.35006
Fu, Xiaoyu; Lü, Qi; Zhang, Xu
2019
Partial approximate controllability for linear stochastic control systems. Zbl 1410.93019
Dou, Fangfang; Lu, Qi
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
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
Dependent generalized functional linear models. Zbl 07072340
Jadhav, S.; Koul, H. L.; Lu, Q.
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
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
Observability estimate and state observation problems for stochastic hyperbolic equations. Zbl 1292.60066
Lü, Qi
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
Carleman estimate for stochastic parabolic equations and inverse stochastic parabolic problems. Zbl 1236.35213
Lü, Qi
2012
Representation of Itô integrals by Lebesgue/Bochner integrals. Zbl 1323.60076
Lü, Qi; Yong, Jiongmin; Zhang, Xu
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
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### Cited by 303 Authors

 16 Lü, Qi 13 Zuazua, Enrique 12 Wang, Gengsheng 10 Coron, Jean-Michel 9 Zhang, Xu 7 Liu, Xu 6 Fu, Xiaoyu 6 Hernández-Santamaría, Víctor 6 Wang, Yanqing 5 Gao, Peng 5 Micu, Sorin 5 Wu, Bin 5 Yin, Zhongqi 5 Zhang, Can 5 Zhang, Yubiao 4 Biccari, Umberto 4 Chentouf, Boumediène 4 Li, Tatsien 4 Olive, Guillaume 4 Orrieri, Carlo 4 Rao, Bopeng 4 Warma, Mahamadi 4 Xiang, Shengquan 4 Yang, Donghui 4 Yong, Jiongmin 4 Zhou, Xiuxiang 3 Cerpa, Eduardo 3 Chen, Mo 3 Chen, Qun 3 Clason, Christian 3 Dou, Fangfang 3 Frankowska, Hélène 3 Gao, Hang 3 Hu, Long 3 Kunisch, Karl 3 Le Balc’h, Kévin 3 Limaco, Juan 3 Marx, Swann 3 Nguyen Huy Tuan 3 Nguyen, Hoai-Minh 3 Phung, Kim Dang 3 Qin, Shulin 3 Takahashi, Takéo 3 Thach, Tran Ngoc 3 Xu, Yashan 3 Zhang, Christophe 3 Zhang, MuMing 3 Zhong, Jie 2 Abdelli, Mouna 2 Batal, Ahmet 2 Caraballo Garrido, Tomás 2 Chang, Yong-Kui 2 Chaves-Silva, Felipe Wallison 2 Chen, Yangquan 2 Fernández-Cara, Enrique 2 Fuhrman, Marco 2 Gagnon, Ludovick 2 Gao, Ying 2 Goreac, Dan 2 He, Yong 2 Hu, Mingshang 2 Hu, Ying 2 Imanuvilov, Oleg Yu. 2 Jammazi, Chaker 2 Jia, Chaohua 2 Keyantuo, Valentin 2 Lazar, Martin 2 Li, Lingfei 2 Lissy, Pierre 2 Lohéac, Jérôme 2 Louis-Rose, Carole 2 Lu, Qi 2 Ma, Shiqi 2 Martínez-Frutos, Jesús 2 Mercado, Alberto 2 Ngoc, Tran Bao 2 Nina-Huamán, Dany 2 Nuñez-Chávez, Miguel R. 2 Özsarı, Türker 2 Peralta, Liliana 2 Periago, Francisco 2 Prieur, Christophe 2 Qiu, Zhiping 2 Rund, Armin 2 Scarpa, Luca 2 Trélat, Emmanuel 2 van Neerven, Jan M. A. M. 2 Wang, Chong 2 Wang, Falei 2 Wang, Lijuan 2 Wang, Ming 2 Wang, Tianxiao 2 Wang, Zewen 2 Wu, Panyu 2 Yamamoto, Masahiro 2 Yan, Lin 2 Yan, Qishu 2 Yu, Huaiqiang 2 Yu, Zhiyong 2 Yuan, Ganghua ...and 203 more Authors
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### Cited in 73 Serials

 35 SIAM Journal on Control and Optimization 25 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 22 Mathematical Control and Related Fields 20 Journal of Differential Equations 14 Journal of Mathematical Analysis and Applications 14 Systems & Control Letters 7 Automatica 6 MCSS. Mathematics of Control, Signals, and Systems 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 Evolution Equations and Control Theory 5 Applied Mathematics and Optimization 4 Inverse Problems 4 Journal of Inverse and Ill-Posed Problems 4 Discrete and Continuous Dynamical Systems 3 Journal of Optimization Theory and Applications 3 Chinese Annals of Mathematics. Series B 3 Journal of Evolution Equations 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Discrete and Continuous Dynamical Systems. Series S 2 Archive for Rational Mechanics and Analysis 2 International Journal of Control 2 Journal of Functional Analysis 2 European Journal of Control 2 Vietnam Journal of Mathematics 2 Positivity 2 Journal of the European Mathematical Society (JEMS) 2 Nonlinear Analysis. Real World Applications 2 Advances in Difference Equations 2 Acta Mechanica Sinica 2 Stochastic and Partial Differential Equations. Analysis and Computations 2 Probability, Uncertainty and Quantitative Risk 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 Nonlinearity 1 Chaos, Solitons and Fractals 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Statistics & Probability Letters 1 Acta Applicandae Mathematicae 1 Probability Theory and Related Fields 1 Asymptotic Analysis 1 Journal of Scientific Computing 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Applied Mathematical Modelling 1 Automation and Remote Control 1 SIAM Review 1 Stochastic Processes and their Applications 1 Journal of Nonlinear Science 1 Computational and Applied Mathematics 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 Journal of Dynamical and Control Systems 1 Qualitative Theory of Dynamical Systems 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Systems Science and Complexity 1 Stochastics and Dynamics 1 Mediterranean Journal of Mathematics 1 Boundary Value Problems 1 Analysis & PDE 1 Differential Equations and Applications 1 Science China. Mathematics 1 Advances in Pure and Applied Mathematics 1 Analysis and Mathematical Physics 1 Dynamic Games and Applications 1 Journal of Function Spaces 1 International Journal of Systems Science. Principles and Applications of Systems and Integration 1 Ural Mathematical Journal 1 Pure and Applied Analysis 1 Electronic Research Archive
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### Cited in 27 Fields

 197 Systems theory; control (93-XX) 156 Partial differential equations (35-XX) 72 Probability theory and stochastic processes (60-XX) 52 Calculus of variations and optimal control; optimization (49-XX) 14 Ordinary differential equations (34-XX) 13 Numerical analysis (65-XX) 11 Real functions (26-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Integral equations (45-XX) 7 Operator theory (47-XX) 7 Mechanics of deformable solids (74-XX) 6 Biology and other natural sciences (92-XX) 5 Functional analysis (46-XX) 5 Fluid mechanics (76-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Computer science (68-XX) 2 History and biography (01-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 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 General topology (54-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX)