Stability Analysis for Continuous-Time Switched Systems With Stochastic Switching Signals

被引：162

作者：

Wu, Xiaotai ^{[1
,2
]}

Tang, Yang ^{[3
]}

Cao, Jinde ^{[1
]}

Mao, Xuerong ^{[4
]}

机构：

[1] Southeast Univ, Sch Math, Nanjing 210096, Jiangsu, Peoples R China

[2] Anhui Polytech Univ, Sch Math & Phys, Wuhu 241000, Peoples R China

[3] East China Univ Sci & Technol, Key Lab Adv Control & Optimizat Chem Proc, Minist Educ, Shanghai 200237, Peoples R China

[4] Univ Strathclyde, Dept Math & Stat, Glasgow G1 1XH, Lanark, Scotland

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2018年 / 63卷 / 09期

关键词：

Markovian switching; renewal process; semi-Markovian switching; stability; switched systems; DIFFERENTIAL-EQUATIONS; LINEAR-SYSTEMS; SYNCHRONIZATION; STABILIZATION; NETWORKS;

D O I：

10.1109/TAC.2017.2779882

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 is concerned with the stability problem of randomly switched systems. By using the probability analysis method, the almost surely globally asymptotical stability and almost surely exponential stability are investigated for switched systems with semi-Markovian switching, Markovian switching, and renewal process switching signals, respectively. Two examples are presented to demonstrate the effectiveness of the proposed results, in which an example of consensus of multiagent systems with nonlinear dynamics is taken into account.

引用

页码：3083 / 3090

页数：8

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