Exponential stability in terms of two measures of impulsive stochastic functional differential systems via comparison principle

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• 作者：Fengqi Yao^a ; ^b ; ^{sarah850217@foxmail.com} ; ^{85657246@qq.com} ; Feiqi Deng^a ; ^{aufqdeng@scut.edu.cn}
• 关键词：Impulsive stochastic functional differential systems ; Exponential stability ; Stability in terms of two measures ; Comparison principle
• 刊名：Statistics and Probability Letters
• 出版年：2012
• 期刊代码：56_01677152
• 类别：mt
• 出版时间：June, 2012
• 卷：82
• 期：6
• 页码：1151-1159
• 文件大小：243 K

摘要

In this paper, based on like-Lyapunov functions and comparison principles, several criteria on the exponential stability in terms of two measures of impulsive stochastic functional differential systems with infinite or finite delays are obtained. The results improve and complement those in earlier publications. Two illustrative examples are also discussed to show the effectiveness and generality of our theorems.