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A nonlinear wave equation with jumping nonlinearity
A gradient flow approach for computing jump linear quadratic optimal feedback gains
1.  Department of Computational and Applied Mathematics, University of The Witwatersrand, Johannesburg, South Africa, South Africa, South Africa 
[1] 
Jun Moon. Linearquadratic meanfield type stackelberg differential games for stochastic jumpdiffusion systems. Mathematical Control and Related Fields, 2022, 12 (2) : 371404. doi: 10.3934/mcrf.2021026 
[2] 
Jian Chen, Tao Zhang, Ziye Zhang, Chong Lin, Bing Chen. Stability and output feedback control for singular Markovian jump delayed systems. Mathematical Control and Related Fields, 2018, 8 (2) : 475490. doi: 10.3934/mcrf.2018019 
[3] 
Qi Lü, Tianxiao Wang, Xu Zhang. Characterization of optimal feedback for stochastic linear quadratic control problems. Probability, Uncertainty and Quantitative Risk, 2017, 2 (0) : 11. doi: 10.1186/s4154601700227 
[4] 
Rohit Gupta, Farhad Jafari, Robert J. Kipka, Boris S. Mordukhovich. Linear openness and feedback stabilization of nonlinear control systems. Discrete and Continuous Dynamical Systems  S, 2018, 11 (6) : 11031119. doi: 10.3934/dcdss.2018063 
[5] 
Russell Johnson, Carmen Núñez. Remarks on linearquadratic dissipative control systems. Discrete and Continuous Dynamical Systems  B, 2015, 20 (3) : 889914. doi: 10.3934/dcdsb.2015.20.889 
[6] 
Jianhui Huang, Xun Li, Jiongmin Yong. A linearquadratic optimal control problem for meanfield stochastic differential equations in infinite horizon. Mathematical Control and Related Fields, 2015, 5 (1) : 97139. doi: 10.3934/mcrf.2015.5.97 
[7] 
Kai Du, Jianhui Huang, Zhen Wu. Linear quadratic meanfieldgame of backward stochastic differential systems. Mathematical Control and Related Fields, 2018, 8 (3&4) : 653678. doi: 10.3934/mcrf.2018028 
[8] 
Galina Kurina, Sahlar Meherrem. Decomposition of discrete linearquadratic optimal control problems for switching systems. Conference Publications, 2015, 2015 (special) : 764774. doi: 10.3934/proc.2015.0764 
[9] 
Ying Hu, Shanjian Tang. Mixed deterministic and random optimal control of linear stochastic systems with quadratic costs. Probability, Uncertainty and Quantitative Risk, 2019, 4 (0) : 1. doi: 10.1186/s415460180035x 
[10] 
Zhenyu Lu, Junhao Hu, Xuerong Mao. Stabilisation by delay feedback control for highly nonlinear hybrid stochastic differential equations. Discrete and Continuous Dynamical Systems  B, 2019, 24 (8) : 40994116. doi: 10.3934/dcdsb.2019052 
[11] 
CătălinGeorge Lefter, ElenaAlexandra Melnig. Feedback stabilization with one simultaneous control for systems of parabolic equations. Mathematical Control and Related Fields, 2018, 8 (3&4) : 777787. doi: 10.3934/mcrf.2018034 
[12] 
Sanmei Zhu, June Feng, Jianli Zhao. State feedback for set stabilization of Markovian jump Boolean control networks. Discrete and Continuous Dynamical Systems  S, 2021, 14 (4) : 15911605. doi: 10.3934/dcdss.2020413 
[13] 
Sigurdur Hafstein, Skuli Gudmundsson, Peter Giesl, Enrico Scalas. Lyapunov function computation for autonomous linear stochastic differential equations using sumofsquares programming. Discrete and Continuous Dynamical Systems  B, 2018, 23 (2) : 939956. doi: 10.3934/dcdsb.2018049 
[14] 
Nguyen Dinh Cong, Nguyen Thi Thuy Quynh. Coincidence of Lyapunov exponents and central exponents of linear Ito stochastic differential equations with nondegenerate stochastic term. Conference Publications, 2011, 2011 (Special) : 332342. doi: 10.3934/proc.2011.2011.332 
[15] 
Nguyen Thi Hoai. Asymptotic approximation to a solution of a singularly perturbed linearquadratic optimal control problem with secondorder linear ordinary differential equation of state variable. Numerical Algebra, Control and Optimization, 2021, 11 (4) : 495512. doi: 10.3934/naco.2020040 
[16] 
Janusz Mierczyński, Sylvia Novo, Rafael Obaya. Lyapunov exponents and Oseledets decomposition in random dynamical systems generated by systems of delay differential equations. Communications on Pure and Applied Analysis, 2020, 19 (4) : 22352255. doi: 10.3934/cpaa.2020098 
[17] 
Xingwu Chen, Jaume Llibre, Weinian Zhang. Averaging approach to cyclicity of hopf bifurcation in planar linearquadratic polynomial discontinuous differential systems. Discrete and Continuous Dynamical Systems  B, 2017, 22 (10) : 39533965. doi: 10.3934/dcdsb.2017203 
[18] 
Jaume Llibre. Limit cycles of continuous piecewise differential systems separated by a parabola and formed by a linear center and a quadratic center. Discrete and Continuous Dynamical Systems  S, 2022 doi: 10.3934/dcdss.2022034 
[19] 
Hongyan Yan, Yun Sun, Yuanguo Zhu. A linearquadratic control problem of uncertain discretetime switched systems. Journal of Industrial and Management Optimization, 2017, 13 (1) : 267282. doi: 10.3934/jimo.2016016 
[20] 
Yadong Shu, Bo Li. Linearquadratic optimal control for discretetime stochastic descriptor systems. Journal of Industrial and Management Optimization, 2022, 18 (3) : 15831602. doi: 10.3934/jimo.2021034 
2020 Impact Factor: 1.392
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