On input-to-state and input-output stability of stochastic nonlinear retarded systems

Dihua Zhai; Yu Kang; Ping Zhao; Haofei Meng

doi:10.3969/j.issn.0253-2778.2013.01.002

On input-to-state and input-output stability of stochastic nonlinear retarded systems

Dihua Zhai, Yu Kang^*, Ping Zhao, Haofei Meng

^*Corresponding author for this work

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

Abstract

The properties of input-to-state/input-output stability (ISS/IOS) in probability and in pth moment for stochastic nonlinear retarded systems with Markovian jump parameters were considered. Based on the Lyapunov-Krasovskii method, the sufficient criteria were developed. Finally, a numerical example is provided to illustrate the effectiveness of the obtained results.

Original language	English
Pages (from-to)	15-23
Number of pages	9
Journal	Journal of University of Science and Technology of China
Volume	43
Issue number	1
DOIs	https://doi.org/10.3969/j.issn.0253-2778.2013.01.002
Publication status	Published - 2013
Externally published	Yes

Keywords

Input-to-state/input-output stability
Lyapunov-Krasovskii method
Markovian jump parameters
Stochastic systems
Time-delay

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10.3969/j.issn.0253-2778.2013.01.002

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abstract = "The properties of input-to-state/input-output stability (ISS/IOS) in probability and in pth moment for stochastic nonlinear retarded systems with Markovian jump parameters were considered. Based on the Lyapunov-Krasovskii method, the sufficient criteria were developed. Finally, a numerical example is provided to illustrate the effectiveness of the obtained results.",

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T1 - On input-to-state and input-output stability of stochastic nonlinear retarded systems

AU - Zhai, Dihua

AU - Kang, Yu

AU - Zhao, Ping

AU - Meng, Haofei

PY - 2013

Y1 - 2013

N2 - The properties of input-to-state/input-output stability (ISS/IOS) in probability and in pth moment for stochastic nonlinear retarded systems with Markovian jump parameters were considered. Based on the Lyapunov-Krasovskii method, the sufficient criteria were developed. Finally, a numerical example is provided to illustrate the effectiveness of the obtained results.

AB - The properties of input-to-state/input-output stability (ISS/IOS) in probability and in pth moment for stochastic nonlinear retarded systems with Markovian jump parameters were considered. Based on the Lyapunov-Krasovskii method, the sufficient criteria were developed. Finally, a numerical example is provided to illustrate the effectiveness of the obtained results.

KW - Input-to-state/input-output stability

KW - Lyapunov-Krasovskii method

KW - Markovian jump parameters

KW - Stochastic systems

KW - Time-delay

UR - https://www.scopus.com/pages/publications/84884957462

U2 - 10.3969/j.issn.0253-2778.2013.01.002

DO - 10.3969/j.issn.0253-2778.2013.01.002

M3 - Article

AN - SCOPUS:84884957462

SN - 0253-2778

VL - 43

SP - 15

EP - 23

JO - Journal of University of Science and Technology of China

JF - Journal of University of Science and Technology of China

IS - 1

ER -

On input-to-state and input-output stability of stochastic nonlinear retarded systems

Abstract

Keywords

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