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STABILIZABILITY OF GAME-BASED CONTROL SYSTEMS 期刊论文
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2021, 卷号: 59, 期号: 5, 页码: 3999-4023
作者:  Zhang, Renren;  Guo, L. E., I
收藏  |  浏览/下载:121/0  |  提交时间:2022/04/02
game-based control system (GBCS)  Nash equilibrium  stabilizable  algebraic Riccati equation (ARE)  algebraic Riccati inequality (ARI)  
The Analytic Solutions of the Homogeneous Modified Algebraic Riccati Equation 期刊论文
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2017, 卷号: 62, 期号: 9, 页码: 4834-4839
作者:  Zhang, Liangyin;  Chen, Michael Z. Q.;  Li, Chanying
收藏  |  浏览/下载:114/0  |  提交时间:2018/07/30
Analytic solution  quantized control  Riccati equation  solution bound  stabilizing solution  
DELAYED OPTIMAL CONTROL OF STOCHASTIC LQ PROBLEM 期刊论文
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2017, 卷号: 55, 期号: 5, 页码: 3370-3407
作者:  Ni, Yuan-Hua;  Yiu, Ka-Fai Cedric;  Zhang, Huanshui;  Zhang, Ji-Feng
收藏  |  浏览/下载:98/0  |  提交时间:2018/07/25
stochastic linear-quadratic optimal control  transmission delay  forward-backward stochastic difference equation  convexity  
The dual algebraic Riccati equations and the set of all solutions of the discrete-time Riccati equation 期刊论文
INTERNATIONAL JOURNAL OF CONTROL, 2017, 卷号: 90, 期号: 7, 页码: 1371-1388
作者:  Zhang, Liangyin;  Chen, Michael Z. Q.;  Li, Chanying
收藏  |  浏览/下载:154/0  |  提交时间:2018/07/30
Riccati equation  anti-stabilising solution  solution set  invariant subspace  Cayley transform  
Indefinite Mean-Field Stochastic Linear-Quadratic Optimal Control: From Finite Horizon to Infinite Horizon 期刊论文
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2016, 卷号: 61, 期号: 11, 页码: 3269-3284
作者:  Ni, Yuan-Hua;  Li, Xun;  Zhang, Ji-Feng
收藏  |  浏览/下载:133/0  |  提交时间:2018/07/30
Indefinite linear-quadratic optimal control  mean-field theory  stochastic system  
Discrete-time mean-field Stochastic linear-quadratic optimal control problems, II: Infinite horizon case 期刊论文
AUTOMATICA, 2015, 卷号: 57, 页码: 65-77
作者:  Ni, Yuan-Hua;  Elliott, Robert;  Li, Xun
收藏  |  浏览/下载:116/0  |  提交时间:2018/07/30
Stochastic linear quadratic optimal control  Mean-field theory  Generalized algebraic Riccati equation  
ON EIGENVALUE BOUNDS AND ITERATION METHODS FOR DISCRETE ALGEBRAIC RICCATI EQUATIONS 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2011, 卷号: 29, 期号: 3, 页码: 341-366
作者:  Dai, Hua;  Bai, Zhong-Zhi
收藏  |  浏览/下载:108/0  |  提交时间:2018/07/30
Discrete algebraic Riccati equation  Symmetric positive definite solution  Eigenvalue bound  Fixed-point iteration  Convergence theory  
On inexact Newton methods based on doubling iteration scheme for non-symmetric algebraic Riccati equations 期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2011, 卷号: 18, 期号: 3, 页码: 325-341
作者:  Gao, Yong-Hua;  Bai, Zhong-Zhi
收藏  |  浏览/下载:101/0  |  提交时间:2018/07/30
non-symmetric algebraic Riccati equation  M-matrix  Newton iteration method  doubling iteration scheme  inexact iteration  convergence  
Fast iterative schemes for nonsymmetric algebraic Riccati equations arising from transport theory 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2008, 卷号: 30, 期号: 2, 页码: 804-818
作者:  Bai, Zhong-Zhi;  Gao, Yong-Hua;  Lu, Lin-Zhang
收藏  |  浏览/下载:91/0  |  提交时间:2018/07/30
nonsymmetric algebraic Riccati equation  fixed-point equations in vector form  splitting iteration method  monotone convergence  
Alternately linearized implicit iteration methods for the minimal nonnegative solutions of the nonsymmetric algebraic Riccati equations 期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2006, 卷号: 13, 期号: 8, 页码: 655-674
作者:  Bai, Zhong-Zhi;  Guo, Xiao-Xia;  Xu, Shu-Fang
收藏  |  浏览/下载:92/0  |  提交时间:2018/07/30
non-symmetric algebraic Riccati equation  minimal non-negative solution  M-matrix  alternately linearized iteration  monotone convergence