On input-to-state stability of switched stochastic nonlinear systems under extended asynchronous switching

Yu Kang; Di Hua Zhai; Yun Bo Zhao

doi:10.1109/TCYB.2015.2423553

On input-to-state stability of switched stochastic nonlinear systems under extended asynchronous switching

Yu Kang^*
, Di Hua Zhai
, Yun Bo Zhao

^*Corresponding author for this work

School of Automation

University of Science and Technology of China
Chinese Academy of Sciences
University of South Wales
Harbin Institute of Technology
Zhejiang University of Technology

Research output: Contribution to journal › Article › peer-review

127 Citations (Scopus)

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 language	English
Article number	7120092
Pages (from-to)	1092-1105
Number of pages	14
Journal	IEEE Transactions on Cybernetics
Volume	46
Issue number	5
DOIs	https://doi.org/10.1109/TCYB.2015.2423553
Publication status	Published - May 2016

Keywords

Extended asynchronous switching
Markovian theory
Razumikhin-type theorem
input-to-state stability
switched stochastic nonlinear retarded systems (SSNLRS)

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10.1109/TCYB.2015.2423553

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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.",

keywords = "Extended asynchronous switching, Markovian theory, Razumikhin-type theorem, input-to-state stability, switched stochastic nonlinear retarded systems (SSNLRS)",

author = "Yu Kang and Zhai, \{Di Hua\} and Zhao, \{Yun Bo\}",

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AU - Zhai, Di Hua

AU - Zhao, Yun Bo

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N2 - 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.

AB - 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.

KW - Extended asynchronous switching

KW - Markovian theory

KW - Razumikhin-type theorem

KW - input-to-state stability

KW - switched stochastic nonlinear retarded systems (SSNLRS)

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JF - IEEE Transactions on Cybernetics

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M1 - 7120092

ER -

On input-to-state stability of switched stochastic nonlinear systems under extended asynchronous switching

Abstract

Keywords

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