AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
Powered by AMiner. Clicking this button will take you away from SciOpen.
Home AIMS Mathematics Article
PDF (379 KB)
Cite
EndNote(RIS) BibTeX
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
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
Show Author Information

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

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 8 Issue 10,
October 2023
Pages 24663-24680
DOI: 10.3934/math.20231257

{{item.num}}

Comments on this article

Go to comment

< Back to all reports

Review Status: {{reviewData.commendedNum}} Commended , {{reviewData.revisionRequiredNum}} Revision Required , {{reviewData.notCommendedNum}} Not Commended Under Peer Review

Review Comment

Cite this Report
Close
Close
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

38

Views

0

Downloads

2

Crossref

2

Web of Science

2

Scopus
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)