A DELAY-DEPENDENT STABILITY CRITERION FOR NONLINEAR STOCHASTIC DELAY-INTEGRO-DIFFERENTIAL EQUATIONS

A DELAY-DEPENDENT STABILITY CRITERION FOR NONLINEAR STOCHASTIC DELAY-INTEGRO-DIFFERENTIAL EQUATIONS

A type of complex systems under both random influence and memory effects is considered. The systems are modeled by a class of nonlinear stochastic delay-integrodifferential equations. A delay-dependent stability criterion for such equations is derived under the condition that the time lags are small...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Acta mathematica scientia 2011-09, Vol.31 (5), p.1813-1822
1. Verfasser: 牛原玲 张诚坚 段金桥
Format: Artikel
Sprache:eng
Schlagworte:
34K20
60H35
65C30
Complex systems
complex systems under uncertainty
Computer simulation
Criteria
Mathematical analysis
Mathematical models
mean-square exponential stability
memory effects
Nonlinearity
numerical experiment
Stability
stochastic delay-integro-differential equations
Stochasticity
复杂系统
延迟积分方程
时滞相关
积分微分方程
稳定性判据
记忆效应
随机延迟
非线性
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:A type of complex systems under both random influence and memory effects is considered. The systems are modeled by a class of nonlinear stochastic delay-integrodifferential equations. A delay-dependent stability criterion for such equations is derived under the condition that the time lags are small enough. Numerical simulations are presented to illustrate the theoretical result.
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(11)60363-9