Stochastic hybrid parabolic systems under jump Markovian perturbations-I: Convergence and stability via Lyapunov functionals

被引：0

作者：

Anabtawi, MJ

Sathananthan, S

机构：

[1] Amer Univ Sharjah, Dept Math & Stat, Sharjah, U Arab Emirates

[2] Tennessee State Univ, Dept Math, Nashville, TN 37203 USA

[3] Tennessee State Univ, Ctr Excellence ISEM, Nashville, TN 37203 USA

来源：

DYNAMIC SYSTEMS AND APPLICATIONS | 2006年 / 15卷 / 02期

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate convergence and stability concepts in the sense of p-th mean and probability of the solution process of stochastic parabolic systems under Markovian structural perturbations. Sufficient conditions are obtained for various kinds of convergence and stability. This is achieved by developing a powerful comparison theorem in the context of vector Lyapunov-like functionals and systems of differential inequalities.

引用

页码：269 / 286

页数：18

共 25 条

[1] Convergence and stability analysis of system of partial differential equations under Markovian structural perturbations-I: Vector Lyapunov-like functions
Anabtawi, MJ
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[8] Robust H∞ control for stochastic time-delay systems with Markovian jump parameters via parameter-dependent Lyapunov functionals
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Song, Bo
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[J]. CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2008, 27 (03) : 331 - 349
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[J]. STOCHASTIC ANALYSIS AND APPLICATIONS, 2000, 18 (05) : 671 - 696
[10] Quantitative analysis of hybrid parabolic systems with Markovian regime switching via practical stability
Anabtawi, M. J.
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[J]. NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2008, 2 (03) : 980 - 992

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