The moment exponential stability of infinite-dimensional linear stochastic switched systems

被引：1

作者：

Zheng, Guojie ^{[1
]}

Wang, Taige ^{[2
]}

机构：

[1] Ningbo Univ Finance & Econ, Coll Digital Technol & Engn, Ningbo 315175, Peoples R China

[2] Univ Cincinnati, Dept Math Sci, Cincinnati, OH 45221 USA

来源：

AIMS MATHEMATICS | 2023年 / 8卷 / 10期

关键词：

infinite-dimensional stochastic switched systems; stability analysis; multiple Lyapunov function; Ito<SIC> formula; MULTIPLE LYAPUNOV FUNCTIONS; STABILIZABILITY; STABILIZATION;

D O I：

10.3934/math.20231257

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies the 2nd-moment exponential stability of a class of infinite-dimensional linear stochastic switched systems comprising two unstable subsystems. We first construct an algebraic sufficient condition on the existence of multiple Lyapunov functions. Then, two switching strategies are designed to stabilize infinite-dimensional linear stochastic switched systems in terms of the multiple Lyapunov function method. Moreover, the system possesses good robust stability of the switching time with our switching strategies.

引用

页码：24663 / 24680

页数：18

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