Global exponential stability for stochastic coupled systems on networks with Markovian switching

Wenxue Li; Huihui Song; Yanbin Qu; Ke Wang

doi:10.1016/j.sysconle.2013.03.001

Global exponential stability for stochastic coupled systems on networks with Markovian switching

Wenxue Li
, Huihui Song
, Yanbin Qu^*
, Ke Wang

^*Corresponding author for this work

Harbin Institute of Technology Weihai
School of Information Science and Engineering, Harbin Institute of Technology Weihai
Northeast Normal University

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

29 Scopus citations

Abstract

This paper investigates the global exponential stability of stochastic coupled systems on networks with Markovian switching (SCSNMS). Sufficient conditions are established to guarantee pth moment exponential stability and almost surely exponential stability of the SCSNMS, by using concepts from graph theory and M-matrix into Lyapunov method. Consequently, the upper boundaries of the pth moment Lyapunov exponent and the sample Lyapunov exponent are given. Finally, to illustrate the capabilities of the stability principle, easy-verifiable sufficient conditions of global exponential stability for a stochastic coupled oscillator on network with Markovian switching are obtained.

Original language	English
Pages (from-to)	468-474
Number of pages	7
Journal	Systems and Control Letters
Volume	62
Issue number	6
DOIs	https://doi.org/10.1016/j.sysconle.2013.03.001
State	Published - 2013
Externally published	Yes

Keywords

Coupled systems on networks
Exponential stability
Graph theory
M-matrix
Markovian switching

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10.1016/j.sysconle.2013.03.001

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title = "Global exponential stability for stochastic coupled systems on networks with Markovian switching",

abstract = "This paper investigates the global exponential stability of stochastic coupled systems on networks with Markovian switching (SCSNMS). Sufficient conditions are established to guarantee pth moment exponential stability and almost surely exponential stability of the SCSNMS, by using concepts from graph theory and M-matrix into Lyapunov method. Consequently, the upper boundaries of the pth moment Lyapunov exponent and the sample Lyapunov exponent are given. Finally, to illustrate the capabilities of the stability principle, easy-verifiable sufficient conditions of global exponential stability for a stochastic coupled oscillator on network with Markovian switching are obtained.",

keywords = "Coupled systems on networks, Exponential stability, Graph theory, M-matrix, Markovian switching",

author = "Wenxue Li and Huihui Song and Yanbin Qu and Ke Wang",

year = "2013",

doi = "10.1016/j.sysconle.2013.03.001",

language = "英语",

volume = "62",

pages = "468--474",

journal = "Systems and Control Letters",

issn = "0167-6911",

publisher = "Elsevier B.V.",

number = "6",

}

TY - JOUR

T1 - Global exponential stability for stochastic coupled systems on networks with Markovian switching

AU - Li, Wenxue

AU - Song, Huihui

AU - Qu, Yanbin

AU - Wang, Ke

PY - 2013

Y1 - 2013

N2 - This paper investigates the global exponential stability of stochastic coupled systems on networks with Markovian switching (SCSNMS). Sufficient conditions are established to guarantee pth moment exponential stability and almost surely exponential stability of the SCSNMS, by using concepts from graph theory and M-matrix into Lyapunov method. Consequently, the upper boundaries of the pth moment Lyapunov exponent and the sample Lyapunov exponent are given. Finally, to illustrate the capabilities of the stability principle, easy-verifiable sufficient conditions of global exponential stability for a stochastic coupled oscillator on network with Markovian switching are obtained.

AB - This paper investigates the global exponential stability of stochastic coupled systems on networks with Markovian switching (SCSNMS). Sufficient conditions are established to guarantee pth moment exponential stability and almost surely exponential stability of the SCSNMS, by using concepts from graph theory and M-matrix into Lyapunov method. Consequently, the upper boundaries of the pth moment Lyapunov exponent and the sample Lyapunov exponent are given. Finally, to illustrate the capabilities of the stability principle, easy-verifiable sufficient conditions of global exponential stability for a stochastic coupled oscillator on network with Markovian switching are obtained.

KW - Coupled systems on networks

KW - Exponential stability

KW - Graph theory

KW - M-matrix

KW - Markovian switching

UR - https://www.scopus.com/pages/publications/84876375396

U2 - 10.1016/j.sysconle.2013.03.001

DO - 10.1016/j.sysconle.2013.03.001

M3 - 文章

AN - SCOPUS:84876375396

SN - 0167-6911

VL - 62

SP - 468

EP - 474

JO - Systems and Control Letters

JF - Systems and Control Letters

IS - 6

ER -

Global exponential stability for stochastic coupled systems on networks with Markovian switching

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Keywords

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