Delay-probability-distribution-dependent robust stability analysis for a class of stochastic system with time-varying delay

Ya Jun Li, Fei Qi Deng, Yun Jian Peng

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations

Abstract

The delay-probability-distribution-dependent robust stability problem for a class of uncertain stochastic system with time-varying delay is investigated. The information of probability distribution of the time delay is considered and transformed into parameter matrices of the transferred stochastic model. Based on the Lyapunov - Krasovskii functional and stochastic stability theory, a delay-probability-distribution-dependent sufficient condition is obtained by the form of the linear matrix inequality (LMI) format such that delayed stochastic systems are robustly globally asymptotically stable in the mean-square sense for all admissible uncertainties. Finally, numerical examples are given to illustrate the effectiveness and less conservativeness of the proposed method.

Original languageEnglish
Title of host publication2010 8th World Congress on Intelligent Control and Automation, WCICA 2010
Pages2107-2112
Number of pages6
DOIs
StatePublished - 2010
Externally publishedYes
Event2010 8th World Congress on Intelligent Control and Automation, WCICA 2010 - Jinan, China
Duration: 7 Jul 20109 Jul 2010

Publication series

NameProceedings of the World Congress on Intelligent Control and Automation (WCICA)

Conference

Conference2010 8th World Congress on Intelligent Control and Automation, WCICA 2010
Country/TerritoryChina
CityJinan
Period7/07/109/07/10

Keywords

  • Delay-probability-distribution-dependent uncertain stochastic system
  • Free weight matrix
  • Linear matrix inequality
  • Robust stability

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