具有有界时滞的脉冲随机泛函微分系统的有限时间稳定  

Finite-time stability of impulsive stochastic functional differential systems with bounded delays

作　　者：王国庆 姚凤麒 WANG Guo-qing;YAO Feng-qi(School of Electrical and Information Engineering,Anhui University of Technology,Maanshan Anhui 243032,China)

机构地区：[1]安徽工业大学电气与信息工程学院,安徽马鞍山243032

出　　处：《控制理论与应用》2023年第9期1569-1575,共7页Control Theory & Applications

基　　金：安徽教育厅高校自然科学研究项目(KJ2019A0047)资助.

摘　　要：本文研究了具有有界时滞的脉冲随机泛函微分系统的有限时间稳定和有限时间渐近稳定问题.基于Lyapunov函数、Razumikhin技巧以及平均脉冲区间条件,本文建立了关于该系统有限时间稳定和有限时间渐近稳定的相关性准则.最后,给出例子说明结论的有效性.This paper is concerned with the finite-time stability and finite-time contractive stability analysis of impulsive stochastic functional differential systems with bounded delays.Based on the Lyapunov functions,Razumikhin techniques and average dwell time approach some finite-time stability and finite-time contractive stability criteria are derived for the related systems.Finally,examples are given to illustrate the efficiency and usefulness of the conclusion.

关 键 词：有限时间稳定 有限时间渐近稳定 脉冲随机泛函微分系统 LYAPUNOV函数 有界时滞 RAZUMIKHIN技巧 

分 类 号：O211.63[理学—概率论与数理统计]