引用本文:王国庆,姚凤麒.具有有界时滞的脉冲随机泛函微分系统的有限时间稳定[J].控制理论与应用,2023,40(9):1569~1575.[点击复制]
WANG Guo-qing,YAO Feng-qi.Finite-time stability of impulsive stochastic functional differential systems with bounded delays[J].Control Theory and Technology,2023,40(9):1569~1575.[点击复制]
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
摘要点击 1081  全文点击 377  投稿时间:2022-03-22  修订日期:2022-10-19
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DOI编号  10.7641/CTA.2022.20204
  2023,40(9):1569-1575
中文关键词  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
英文关键词  finite-time stability  finite-time contractive stability  impulsive stochastic functional differential systems  Lyapunov functions  bounded delays  Razumikhin techniques
基金项目  安徽教育厅高校自然科学研究项目(KJ2019A0047)资助.
作者单位E-mail
王国庆 安徽工业大学电气与信息工程学院 wangguoqing342601@163.com 
姚凤麒* 安徽工业大学电气与信息工程学院 yaofengqi_ahut@163.com 
中文摘要
      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.
英文摘要
      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.