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Impulse Controllability and Impulse Observability of stochastic singular systems

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Journal of systems Science & Complexity 2021年第3期34卷 899-911页

作者： GE Zhaoqiang School of Mathematics and Statistics Xi'an Jiaotong UniversityXi'an 710049China

This paper discusses the impulse controllability and impulse observability of stochastic singular ***,the condition for the existence and uniqueness of the impulse solution to stochastic singular systems is given by Laplace ***,the necessary and sufficient conditions for the impulse controllability and impulse observability of systems considered are derived in terms of matrix ***,an example is given to illustrate the effectiveness of the obtained theoretical results.

关键词： Impulse controllability impulse observability stochastic singular systems

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Linear Quadratic Nash Differential Games of stochastic singular systems

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Journal of systems Science and Information 2014年第6期2卷 553-560页

作者： Haiying ZHOU Huainian ZHU Chengke ZHANG School of Economics and Commerce Guangdong University of Technology School of Management

In this paper, we deal with the Nash differential games of stochastic singular systems governed by It?o-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 *** 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.

关键词： stochastic singular systems Nash differential games finite-time horizon infinite-time horizon

Delay-dependent Stability Analysis and Control for a Kind of stochastic singular systems with Time-varying Delays

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Delay-dependent Stability Analysis and Control for a Kind of...

Exponential mean-square stability of stochastic singular systems with Markov switching

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作者： XING Shuangyun YAN Dongyu CHANG Chunling College of Science Shenyang Jianzhu University systems Engineering Institute South China University of Technology

This paper is concerned with the problems of delay-dependent mean-square admissibility and control for a class of stochastic singular systems with time-varying *** on an auxiliary vector function and an integral inequality,by utilizing the free-weighting-matrix approach along with developed linear matrix inequality（LMI） techniques and combining them with the structural characteristics of the considered closed-loop system,a set of delay-dependent sufficient conditions is established,which ensures that the system is regular,impulse-free and mean-square ***,the sufficient conditions for the solvability of the mean-square admissibility problem are obtained in terms of a new type of candidate Lyapunov-Krasovskii function and a set of linear matrix ***,a simulation example is presented to show the validity of our proposed theoretical results.

关键词： stochastic singular systems Time-varying delays Mean-square admissibility Linear matrix inequalities(LMIs)

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Exponential mean-square stability of stochastic singular sys...

State Estimation of Discrete stochastic singular System

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作者： Ticao Jiao Wei Xing Zheng Guangdeng Zong College of Electrical and Electronic Engineering Shandong University of Technology School of Computing Engineering and MathematicsWestern Sydney University School of Engineering Qufu Normal University

This paper studies the exponential mean-square stability problem for a class of stochastic singular systems with Markov ***,we convert the original system into a differential-algebraic expression on the basis of singular value decomposition ***,some sufficient conditions for the exponential mean-square stability of the converted form are derived in terms of linear matrix inequalities,which in turn lead to the stability of the original system.

关键词： stochastic singular systems Markov switching exponential mean-square stability

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systems Science and systems Engineering 2000年第1期10卷 99-103页

作者： XU Yan\|li Center of High Education, Tianjin University, Tianjin 300072, China

In this paper, a state estimation problem in discrete\|time stochastic singular systems is investigated. It has been proved that the optimal state estimation problem of a discrete\|time stochastic singular system is e... 详细信息

关键词： stochastic singular systems estimation optimal control

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