Exponential mean-square stability of stochastic singular systems with Markov switching

Ticao Jiao, Wei Xing Zheng, Guangdeng Zong

Research output: Chapter in Book / Conference PaperConference Paperpeer-review

Abstract

This paper studies the exponential mean-square stability problem for a class of stochastic singular systems with Markov switching. First, we convert the original system into a differential-algebraic expression on the basis of singular value decomposition approach. Then, some sufficient conditions for the exponential mean-square stability of the converted form are derived in terms of linear matrix inequalities, which in turn lead to the stability of the original system.
Original languageEnglish
Title of host publicationProceedings of the 37th Chinese Control Conference, 25-27 July 2018, Wuhan, China
PublisherIEEE
Pages1570-1573
Number of pages4
ISBN (Print)9789881563941
DOIs
Publication statusPublished - 2018
EventChinese Control Conference -
Duration: 25 Jul 2018 → …

Publication series

Name
ISSN (Print)1934-1768

Conference

ConferenceChinese Control Conference
Period25/07/18 → …

Keywords

  • Markov processes
  • exponential functions
  • robust control
  • stochastic systems

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