Stability and stabilization of switched stochastic systems under asynchronous switching

被引：75

作者：

Ren, Wei ^{[1
]}

Xiong, Junlin ^{[1
]}

机构：

[1] Univ Sci & Technol China, Dept Automat, Hefei 230026, Peoples R China

来源：

SYSTEMS & CONTROL LETTERS | 2016年 / 97卷

基金：

中国国家自然科学基金;

关键词：

Asynchronous switching; Average dwell time; Switched system; Stochastic stability; TO-STATE STABILITY; NETWORKED CONTROL-SYSTEMS; OUTPUT TRACKING CONTROL; LINEAR-SYSTEMS;

D O I：

10.1016/j.sysconle.2016.09.005

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper studies the stability and stabilization problems for a class of switched stochastic systems under asynchronous switching. The asynchronous switching refers to that the switching of the candidate controllers does not coincide with the switching of system modes. Two situations are considered: (1) time-delayed switching situation, that is, the switching of the candidate controllers has a lag to the switching of the system modes; (2) mismatched switching situation, the switching of the candidate controllers does not match the switching of the system modes. Using average dwell time and Lyapunovlike function, sufficient conditions are established for stochastic input-to-state stability of the whole system. Also, the stabilizing controller design approach is proposed for switched stochastic linear systems. The minimal average dwell time and the controller gain are achieved. Finally, a numerical example is used to demonstrate the validity of the developed results. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：184 / 192

页数：9

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