pth Moment Exponential Stability of Switched Discrete-Time Stochastic Systems: A Multiple Lyapunov Functions Method

被引：9
|
作者：
Fan, Lina [1 ]
Zhu, Quanxin [1 ]
机构：
[1] Hunan Normal Univ, Sch Math & Stat, MOE LCSM, Changsha 410081, Hunan, Peoples R China
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2021年 / 358卷 / 13期
基金：
中国国家自然科学基金;
关键词：
TO-STATE STABILITY; LINEAR-SYSTEMS; DIFFERENTIAL-EQUATIONS; UNSTABLE SUBSYSTEMS; STABILIZATION; DELAY; INPUT; STABILIZABILITY; MODEL;
D O I：
10.1016/j.jfranklin.2021.07.014
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 pth moment exponential stability of switched discrete-time stochastic systems with stable and unstable subsystems. By using multiple Lyapunov functions and mode-dependent average dwell time, we provide a sufficient condition for the pth moment exponential stability with fast convergence rate for deterministic switched discrete-time stochastic systems with stable and unstable subsystems. Obviously, our result has a weaker conservatism than those previous results where the effect of random factor was ignored. In addition, the criteria for stability and instability of discrete-time stochastic systems without switching are provided. Finally, the correctness of the results is verified by two numerical examples. To the best of our knowledge, it is the first time that the stability of discrete time switching system with random disturbance has been discussed. (c) 2021 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：6835 / 6853
页数：19
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