Stability analysis of switched stochastic systems

被引：69
|
作者：
Wei, Feng [2 ]
Jie, Tian
Ping, Zhao [1 ]
机构：
[1] Univ Jinan, Sch Control Sci & Engn, Jinan 250022, Shandong, Peoples R China
[2] Shandong Agr Univ, Coll Informat Sci & Engn, Ctr Postdoctoral Studies Econ & Management Agr &, Tai An 271018, Shandong, Peoples R China
来源：
AUTOMATICA | 2011年 / 47卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Stochastic system; Switched systems; Moment stability; Sample path stability; LINEAR-SYSTEMS; STABILIZATION;
D O I：
10.1016/j.automatica.2010.10.023
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, for a class of switched stochastic (SS) systems, the moment stability (M-S) and sample path stability (SP-S) are investigated, respectively, and there are two main contributions. First, based on accurate estimations for the powers of solution of a special nonswitched stochastic (nSS) system, by employing the concepts of a Lyapunov function and describing the switching laws with the average dwell-time and the subsystems, three sufficiency theorems of p-th M-S are given for the SS systems. Then, for the SP-S of such systems, based on the results of p-th M-S, two sufficiency theorems are obtained for p > 2 and p = 2, respectively. Crown Copyright (C) 2010 Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：148 / 157
页数：10
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