Mean Square Exponential Stability of Stochastic Switched System with Interval Time-Varying Delays

被引：16
作者：
Rajchakit, Manlika [1 ]
Rajchakit, Grienggrai [1 ]
机构：
[1] Maejo Univ, Fac Sci, Chiangmai 50290, Thailand
来源：
ABSTRACT AND APPLIED ANALYSIS | 2012年
关键词：
ROBUST STABILITY; EQUATIONS; STABILIZABILITY; STABILIZATION; CRITERIA;
D O I：
10.1155/2012/623014
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with mean square exponential stability of switched stochastic system with interval time-varying delays. The time delay is any continuous function belonging to a given interval, but not necessary to be differentiable. By constructing a suitable augmented Lyapunov-Krasovskii functional combined with Leibniz-Newton's formula, a switching rule for the mean square exponential stability of switched stochastic system with interval time-varying delays and new delay-dependent sufficient conditions for the mean square exponential stability of the switched stochastic system are first established in terms of LMIs. Numerical example is given to show the effectiveness of the obtained result.
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页数：12
相关论文
共 24 条
[1]   Exponential Stability and Estimation of Solutions of Linear Differential Systems of Neutral Type with Constant Coefficients [J].
Bastinec, J. ;
Diblik, J. ;
Khusainov, D. Ya. ;
Ryvolova, A. .
BOUNDARY VALUE PROBLEMS, 2010,
[2]   Existence of positive solutions of discrete linear equations with a single delay [J].
Bastinec, J. ;
Diblik, J. ;
Smarda, Z. .
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2010, 16 (09) :1047-1056
[3]  
Boyd S., 1994, LINEAR MATRIX INEQUA, V15
[4]   LMI characterization of structural and robust stability: the discrete-time case [J].
de Oliveira, MC ;
Geromel, JC ;
Hsu, L .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1999, 296 (1-3) :27-38
[5]  
Diblik J., 2004, DYNAMIC SYSTEMS APPL, V4, P395
[6]   Stability of Nonlinear Autonomous Quadratic Discrete Systems in the Critical Case [J].
Diblik, Josef ;
Khusainov, Denys Ya. ;
Grytsay, Irina V. ;
Smarda, Zdenek S. .
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2010, 2010
[7]   Waewski's method for systems of dynamic equations on time scales [J].
Diblik, Josef ;
Ruzickova, Miroslava ;
Smarda, Zdenek .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (12) :E1124-E1131
[8]  
Diblík J, 2009, DYNAM SYST APPL, V18, P507
[9]   Stability Investigation of Nonlinear Quadratic Discrete Dynamics Systems in the Critical Case [J].
Diblik, Josef ;
Khusainov, Denys Ya. ;
Grytsay, Irina V. .
ISND 2007: PROCEEDINGS OF THE 2007 INTERNATIONAL SYMPOSIUM ON NONLINEAR DYNAMICS, PTS 1-4, 2008, 96
[10]   Estimates of Exponential Stability for Solutions of Stochastic Control Systems with Delay [J].
Dzhalladova, Irada A. ;
Bastinec, Jaromir ;
Diblik, Josef ;
Khusainov, Denys Y. .
ABSTRACT AND APPLIED ANALYSIS, 2011,
123