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

作　　者：牛原玲 张诚坚 段金桥 

机构地区：[1]School of Mathematics and Statistics, Huazhong University of Science and Technology [2]School of Mathematics, Central South University [3]Department of Applied Mathematics, Illinois Institute of Technology, Chicago IL 60616, USA

出　　处：《Acta Mathematica Scientia》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)

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.

关 键 词：complex systems under uncertainty mean-square exponential stability stochastic delay-integro-differential equations memory effects numerical experiment 

分 类 号：O211.63[理学—概率论与数理统计]