Controllability and Observability of Stochastic Singular Systems in Banach Spaces

Journal of Systems Science and Complexity ◽

10.1007/s11424-021-0164-7 ◽

2021 ◽

Author(s):

Zhaoqiang Ge

Keyword(s):

Banach Spaces ◽

Singular Systems ◽

Stochastic Singular Systems ◽

Controllability And Observability

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Some remarks on stability of stochastic singular systems with state-dependent noise

Automatica ◽

10.1016/j.automatica.2014.10.044 ◽

2015 ◽

Vol 51 ◽

pp. 273-277 ◽

Cited By ~ 81

Author(s):

Weihai Zhang ◽

Yong Zhao ◽

Li Sheng

Keyword(s):

Singular Systems ◽

State Dependent ◽

Stochastic Singular Systems

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Self-Tuning Information Fusion Reduced-Order Kalman Predictors for Stochastic Singular Systems

2006 6th World Congress on Intelligent Control and Automation ◽

10.1109/wcica.2006.1712605 ◽

2006 ◽

Author(s):

Jing Ma ◽

Shuli Sun

Keyword(s):

Information Fusion ◽

Singular Systems ◽

Reduced Order ◽

Self Tuning ◽

Stochastic Singular Systems

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Linear quadratic Pareto optimal control problem of stochastic singular systems

Journal of the Franklin Institute ◽

10.1016/j.jfranklin.2016.11.021 ◽

2017 ◽

Vol 354 (2) ◽

pp. 1220-1238 ◽

Cited By ~ 12

Author(s):

Weihai Zhang ◽

Yaning Lin ◽

Lingrong Xue

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Singular Systems ◽

Pareto Optimal ◽

Linear Quadratic ◽

Stochastic Singular Systems

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Optimal Filtering for Stochastic Singular Systems with Uncertain Observations

Advances in Intelligent and Soft Computing - Knowledge Discovery and Data Mining ◽

10.1007/978-3-642-27708-5_107 ◽

2012 ◽

pp. 777-784

Author(s):

Wang Huiying

Keyword(s):

Singular Systems ◽

Optimal Filtering ◽

Stochastic Singular Systems

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Stability analysis and optimal control of stochastic singular systems

Optimization Letters ◽

10.1007/s11590-013-0687-5 ◽

2013 ◽

Vol 8 (6) ◽

pp. 1905-1920 ◽

Cited By ~ 18

Author(s):

Qingling Zhang ◽

Shuangyun Xing

Keyword(s):

Optimal Control ◽

Stability Analysis ◽

Singular Systems ◽

Stochastic Singular Systems

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Stability and exact observability of discrete stochastic singular systems based on generalised Lyapunov equations

IET Control Theory and Applications ◽

10.1049/iet-cta.2015.0896 ◽

2016 ◽

Vol 10 (9) ◽

pp. 971-980 ◽

Cited By ~ 13

Author(s):

Shuangyun Xing ◽

Qingling Zhang

Keyword(s):

Singular Systems ◽

Lyapunov Equations ◽

Exact Observability ◽

Stochastic Singular Systems

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Finite-time stability of fractional-order stochastic singular systems with time delay and white noise

Complexity ◽

10.1002/cplx.21815 ◽

2016 ◽

Vol 21 (S2) ◽

pp. 370-379 ◽

Cited By ~ 15

Author(s):

Kalidass Mathiyalagan ◽

Krishnan Balachandran

Keyword(s):

Time Delay ◽

White Noise ◽

Fractional Order ◽

Finite Time ◽

Singular Systems ◽

Time Stability ◽

Finite Time Stability ◽

Stochastic Singular Systems

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Robust H∞ output feedback control for uncertain stochastic singular systems

2008 Chinese Control and Decision Conference ◽

10.1109/ccdc.2008.4598151 ◽

2008 ◽

Author(s):

Renquan Lu ◽

Xiaozhen Dai ◽

Wei Du ◽

Anke Xue

Keyword(s):

Feedback Control ◽

Output Feedback ◽

Singular Systems ◽

Output Feedback Control ◽

Stochastic Singular Systems

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H∞ state feedback controller design of stochastic singular systems with discontinuities

2007 46th IEEE Conference on Decision and Control ◽

10.1109/cdc.2007.4434488 ◽

2007 ◽

Author(s):

J. Raouf ◽

E. K. Boukas

Keyword(s):

State Feedback ◽

Controller Design ◽

Singular Systems ◽

Feedback Controller ◽

State Feedback Controller ◽

Stochastic Singular Systems

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Linear Quadratic Nash Differential Games of Stochastic Singular Systems

Journal of Systems Science and Information ◽

10.1515/jssi-2014-0553 ◽

2014 ◽

Vol 2 (6) ◽

pp. 553-560

Author(s):

Haiying Zhou ◽

Huainian Zhu ◽

Chengke Zhang

Keyword(s):

Differential Games ◽

Finite Time ◽

Time Horizon ◽

Singular Systems ◽

Existence Condition ◽

Infinite Time ◽

Infinite Time Horizon ◽

Finite Time Horizon ◽

Stochastic Singular Systems ◽

Nash Differential Games

AbstractIn this paper, we deal with the Nash differential games of stochastic singular systems governed by Itô-type equation in finite-time horizon and infinite-time horizon, respectively. Firstly, the Nash differential game problem of stochastic singular systems in finite time horizon is formulated. By applying the results of stochastic optimal control problem, the existence condition of the Nash strategy is presented by means of a set of cross-coupled Riccati differential equations. Similarly, under the assumption of the admissibility of the stochastic singular systems, the existence condition of the Nash strategy in infinite-time horizon is presented by means of a set of cross-coupled Riccati algebraic equations. The results show that the strategies of each players interact.

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