Acta mathematica scientia, Series B >
A DELAY-DEPENDENT STABILITY CRITERION FOR NONLINEAR STOCHASTIC DELAY-INTEGRO-DIFFERENTIAL EQUATIONS
Received date: 2010-03-19
Revised date: 2010-08-27
Online published: 2011-09-20
Supported by
This work is supported by NSFC (10871078), 863 Pro-gram of China (2009AA044501), an Open Research Grant of the State Key Laboratory for Nonlinear Mechanics of CAS, and Graduates’ Innovation Fund of HUST (HF-08-02-2011-011).
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.
NIU Yuan-Ling , ZHANG Cheng-Jian , DUAN Jin-Qiao . A DELAY-DEPENDENT STABILITY CRITERION FOR NONLINEAR STOCHASTIC DELAY-INTEGRO-DIFFERENTIAL EQUATIONS[J]. Acta mathematica scientia, Series B, 2011 , 31(5) : 1813 -1822 . DOI: 10.1016/S0252-9602(11)60363-9
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