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Research Article | Open Access

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

Guojie Zheng1( ), Taige Wang2
College of Digital Technology and Engineering, Ningbo University of Finance & Economics, Ningbo 315175, China
Department of Mathematical Sciences, University of Cincinnati, Cincinnati, OH 45221, USA
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Abstract

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.

Keywords

infinite-dimensional stochastic switched systemsstability analysismultiple Lyapunov functionItô formula
CLC number: 60H30, 93E15

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AIMS Mathematics
Volume 8 Issue 10,
October 2023
Pages 24663-24680
DOI: 10.3934/math.20231257

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Cite this article:
Zheng G, Wang T. The moment exponential stability of infinite-dimensional linear stochastic switched systems. AIMS Mathematics, 2023, 8(10): 24663-24680. https://doi.org/10.3934/math.20231257

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Received: 10 May 2023
Revised: 14 July 2023
Accepted: 07 August 2023
Published: 15 October 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)