Less conservative delay-dependent exponential stability for stochastic Markovian jump systems with time-varying delays

Xu Dong Zhao; Li Wang; Ming Xiang Ling; Qing Shuang Zeng

Less conservative delay-dependent exponential stability for stochastic Markovian jump systems with time-varying delays

Xu Dong Zhao^*
, Li Wang
, Ming Xiang Ling
, Qing Shuang Zeng

^*Corresponding author for this work

Harbin Institute of Technology

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

1 Scopus citations

Abstract

In this paper, the delay-range-dependent exponential stability problems for It stochastic Markovian jump linear systems with interval time-varying delays satisfying h₁ ≤ d(t) ≤ h₂ are investigated. In terms of linear matrix inequalities, the criteria of less conservative delay-range-dependent stability for It stochastic Markovian jump systems are proposed by constructing a different Lyapunov-Krasovskii function and introducing some improved integral-equalities. Numerical examples are provided to demonstrate the efficiency and reduced conservatism of the results in this paper.

Original language	English
Pages (from-to)	378-383
Number of pages	6
Journal	Harbin Gongye Daxue Xuebao/Journal of Harbin Institute of Technology
Volume	42
Issue number	3
State	Published - Mar 2010

Keywords

Delay-dependent stability
Interval time-varying delays
Linear matrix inequalities
Markovian jump systems

Cite this

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title = "Less conservative delay-dependent exponential stability for stochastic Markovian jump systems with time-varying delays",

abstract = "In this paper, the delay-range-dependent exponential stability problems for It stochastic Markovian jump linear systems with interval time-varying delays satisfying h1 ≤ d(t) ≤ h2 are investigated. In terms of linear matrix inequalities, the criteria of less conservative delay-range-dependent stability for It stochastic Markovian jump systems are proposed by constructing a different Lyapunov-Krasovskii function and introducing some improved integral-equalities. Numerical examples are provided to demonstrate the efficiency and reduced conservatism of the results in this paper.",

keywords = "Delay-dependent stability, Interval time-varying delays, Linear matrix inequalities, Markovian jump systems",

author = "Zhao, \{Xu Dong\} and Li Wang and Ling, \{Ming Xiang\} and Zeng, \{Qing Shuang\}",

year = "2010",

month = mar,

language = "英语",

volume = "42",

pages = "378--383",

journal = "Harbin Gongye Daxue Xuebao/Journal of Harbin Institute of Technology",

issn = "0367-6234",

publisher = "Harbin Institute of Technology",

number = "3",

}

TY - JOUR

T1 - Less conservative delay-dependent exponential stability for stochastic Markovian jump systems with time-varying delays

AU - Zhao, Xu Dong

AU - Wang, Li

AU - Ling, Ming Xiang

AU - Zeng, Qing Shuang

PY - 2010/3

Y1 - 2010/3

N2 - In this paper, the delay-range-dependent exponential stability problems for It stochastic Markovian jump linear systems with interval time-varying delays satisfying h1 ≤ d(t) ≤ h2 are investigated. In terms of linear matrix inequalities, the criteria of less conservative delay-range-dependent stability for It stochastic Markovian jump systems are proposed by constructing a different Lyapunov-Krasovskii function and introducing some improved integral-equalities. Numerical examples are provided to demonstrate the efficiency and reduced conservatism of the results in this paper.

AB - In this paper, the delay-range-dependent exponential stability problems for It stochastic Markovian jump linear systems with interval time-varying delays satisfying h1 ≤ d(t) ≤ h2 are investigated. In terms of linear matrix inequalities, the criteria of less conservative delay-range-dependent stability for It stochastic Markovian jump systems are proposed by constructing a different Lyapunov-Krasovskii function and introducing some improved integral-equalities. Numerical examples are provided to demonstrate the efficiency and reduced conservatism of the results in this paper.

KW - Delay-dependent stability

KW - Interval time-varying delays

KW - Linear matrix inequalities

KW - Markovian jump systems

UR - https://www.scopus.com/pages/publications/77952174658

M3 - 文章

AN - SCOPUS:77952174658

SN - 0367-6234

VL - 42

SP - 378

EP - 383

JO - Harbin Gongye Daxue Xuebao/Journal of Harbin Institute of Technology

JF - Harbin Gongye Daxue Xuebao/Journal of Harbin Institute of Technology

IS - 3

ER -

Less conservative delay-dependent exponential stability for stochastic Markovian jump systems with time-varying delays

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Keywords

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