On input-to-state stability of stochastic nonlinear systems with Markovian jumping parameters

Ping Zhao; Yu Kang; Dihua Zhai

doi:10.1080/00207179.2011.651749

On input-to-state stability of stochastic nonlinear systems with Markovian jumping parameters

Ping Zhao^*, Yu Kang, Dihua Zhai

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科研成果: 期刊稿件 › 文章 › 同行评审

27 引用（Scopus）

摘要

In this article, the input-to-state stability (ISS) properties of stochastic nonlinear systems with Markovian jump parameters are considered. Firstly, the notions of stochastic ISS, e ^λt-weighted (integral) ISS in mean and in the pth mean are introduced. Then by the Lyapunov-like function method, some corresponding criteria are provided. Lastly, a simulation example is provided to illustrate the effectiveness of our results.

源语言	英语
页（从-至）	343-349
页数	7
期刊	International Journal of Control
卷	85
期	4
DOI	https://doi.org/10.1080/00207179.2011.651749
出版状态	已出版 - 1 4月 2012
已对外发布	是

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Zhao, P., Kang, Y., & Zhai, D. (2012). On input-to-state stability of stochastic nonlinear systems with Markovian jumping parameters. International Journal of Control, 85(4), 343-349. https://doi.org/10.1080/00207179.2011.651749

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title = "On input-to-state stability of stochastic nonlinear systems with Markovian jumping parameters",

abstract = "In this article, the input-to-state stability (ISS) properties of stochastic nonlinear systems with Markovian jump parameters are considered. Firstly, the notions of stochastic ISS, e λt-weighted (integral) ISS in mean and in the pth mean are introduced. Then by the Lyapunov-like function method, some corresponding criteria are provided. Lastly, a simulation example is provided to illustrate the effectiveness of our results.",

keywords = "Markovian jump parameter, e -weighted (integral), input-to-state stability, stochastic input-to-state stability, stochastic nonlinear system",

author = "Ping Zhao and Yu Kang and Dihua Zhai",

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AU - Zhai, Dihua

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N2 - In this article, the input-to-state stability (ISS) properties of stochastic nonlinear systems with Markovian jump parameters are considered. Firstly, the notions of stochastic ISS, e λt-weighted (integral) ISS in mean and in the pth mean are introduced. Then by the Lyapunov-like function method, some corresponding criteria are provided. Lastly, a simulation example is provided to illustrate the effectiveness of our results.

AB - In this article, the input-to-state stability (ISS) properties of stochastic nonlinear systems with Markovian jump parameters are considered. Firstly, the notions of stochastic ISS, e λt-weighted (integral) ISS in mean and in the pth mean are introduced. Then by the Lyapunov-like function method, some corresponding criteria are provided. Lastly, a simulation example is provided to illustrate the effectiveness of our results.

KW - Markovian jump parameter

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KW - stochastic input-to-state stability

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On input-to-state stability of stochastic nonlinear systems with Markovian jumping parameters

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