On Input-to-State Stability of Switched Stochastic Nonlinear Systems Under Extended Asynchronous Switching

Yu Kang*, Di-Hua Zhai, Yun-Bo Zhao, G-P Liu

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

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    Abstract

    An extended asynchronous switching model is investigated for a class of switched stochastic nonlinear retarded systems in the presence of both detection delay and false alarm, where the extended asynchronous switching is described by two independent and exponentially distributed stochastic processes, and further simplified as Markovian. Based on the Razumikhin-type theorem incorporated with average dwell-time approach, the sufficient criteria for global asymptotic stability in probability and stochastic input-to-state stability are given, whose importance and effectiveness are finally verified by numerical examples.

    Original languageEnglish
    Pages (from-to)1092-1105
    Number of pages14
    JournalIeee transactions on cybernetics
    Volume46
    Issue number5
    Early online date9 Jun 2015
    DOIs
    Publication statusPublished - May 2016

    Keywords

    • Extended asynchronous switching
    • input-to-state stability
    • Markovian theory
    • Razumikhin-type theorem
    • switched stochastic nonlinear retarded systems (SSNLRS)
    • AVERAGE DWELL TIME
    • H-INFINITY CONTROL
    • LINEAR-SYSTEMS
    • DELAY SYSTEMS
    • STABILIZATION

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