Stability of nonlinear time-varying systems with delayed stochastic impulses

被引：0

作者：

Song, Wenhao ^{[1
]}

You, Luyao ^{[1
]}

Li, Xiaodi ^{[1
,2
]}

机构：

[1] Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Peoples R China

[2] Shandong Normal Univ, Shandong Prov Engn Res Ctr Syst Control & Intellig, Jinan 250358, Peoples R China

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2025年 / 151卷

基金：

中国国家自然科学基金;

关键词：

Stochastic impulses; Delayed impulses; Time-varying systems; Lyapunov methods; Stability; DELAY SYSTEMS; EXPONENTIAL SYNCHRONIZATION; CHAOTIC SYSTEMS; STABILIZATION; NETWORKS; CRITERIA;

D O I：

10.1016/j.cnsns.2025.109120

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies the exponential stability of nonlinear time-varying systems involving delayed impulses with stochastic intensity. Different from the deterministic delayed impulses, which are either stabilizing or destabilizing, stochastic impulsive intensity allows for the presence of both stabilizing and destabilizing impulses. When the system involves both stabilizing and destabilizing impulses, several Lyapunov-based conditions for exponential stability are presented. Due to the stochastic impulsive intensity and time delays, stabilizing impulses are allowed to transform into destabilizing impulses at some impulse instants. Specially, even when the system involves completely destabilizing impulses, the exponential stability can be achieved by providing a constrained attraction region. Two illustrated examples are presented to verify the effectiveness of the obtained results.

引用

页数：11

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