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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】 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.
【Abstract】 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;
【Key words】 finite-time stability; finite-time contractive stability; impulsive stochastic functional differential systems; Lyapunov functions; bounded delays; Razumikhin techniques;
【Key words】 finite-time stability; finite-time contractive stability; impulsive stochastic functional differential systems; Lyapunov functions; bounded delays; Razumikhin techniques;
【基金】 安徽教育厅高校自然科学研究项目(KJ2019A0047)资助~~
- 【文献出处】 控制理论与应用 ,Control Theory & Applications , 编辑部邮箱 ,2023年09期
- 【分类号】O211.63
- 【下载频次】8