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

A DELAY-DEPENDENT STABILITY CRITERION FOR NONLINEAR STOCHASTIC DELAY-INTEGRO-DIFFERENTIAL EQUATIONS
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摘要 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. 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.
出处 《Acta Mathematica Scientia》 SCIE CSCD 2011年第5期1813-1822,共10页 数学物理学报(B辑英文版)
基金 supported by NSFC (10871078) 863 Program of China (2009AA044501) an Open Research Grant of the State Key Laboratory for Nonlinear Mechanics of CAS Graduates' Innovation Fund of HUST (HF-08-02-2011-011)
关键词 complex systems under uncertainty mean-square exponential stability stochastic delay-integro-differential equations memory effects numerical experiment complex systems under uncertainty mean-square exponential stability stochastic delay-integro-differential equations memory effects numerical experiment
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