Finite-time stability of nolinear stochastic delay systems with delayed impulses

被引：0

作者：

Zhang, Yu ^{[1
]}

Cheng, Pei ^{[1
]}

机构：

[1] School of Mathematical Sciences, Anhui University, Anhui, Hefei

来源：

Kongzhi Lilun Yu Yingyong/Control Theory and Applications | 2025年 / 42卷 / 05期

基金：

中国国家自然科学基金;

关键词：

average implusive interval; comparison principle; delayed impulses; finite-time stability; stochastic delay systems;

D O I：

10.7641/CTA.2024.30661

中图分类号：

学科分类号：

摘要：

This paper investigates the finite-time stability of nonlinear stochastic delay systems with delayed impulses. Firstly, based on the average implusive interval and the comparison principle of implusive systems, some sufficient conditions for finite-time stability of systems are established. Secondly, based on implusive control theory, we investigate finite-time stability of nolinear stochastic delay systems involving stabilizing impluses and destabilizing impluses. Then the results are applied to the linear system by using linear matrix inequalities and stochastic analysis techniques. Finally, two numerical examples are presented to verify the validity of the results. © 2025 South China University of Technology. All rights reserved.

引用

页码：903 / 910

页数：7

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