Finite-time attractiveness and stability of stochastic systems with Markovian switching

被引：0

作者：

Shi, Xuejun ^{[1
]}

Zhu, Quanxin ^{[2
]}

Li, Xiaodi ^{[1
]}

机构：

[1] Shandong Normal Univ, Sch Math & Stat, Jinan 250358, Shandong, Peoples R China

[2] Hunan Normal Univ, Sch Math & Stat, Changsha 410081, Hunan, Peoples R China

来源：

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

关键词：

Attractiveness; Stochastic stability; Markov-switched system; Finite-time stability; EXPONENTIAL STABILITY; STABILIZATION; EQUATIONS;

D O I：

10.1016/j.cnsns.2025.109004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper investigated the finite-time attractivity and stability of an hybrid stochastic system with Markovian switching. Drawing upon the principles of stochastic processes and stochastic analysis, and employing multiple Lyapunov functions, we derived a more readily verifiable condition that is sufficient for ensuring the finite-time attractivity and stability of such systems. In particular, this condition remains valid even in cases where the subsystems exhibit instability and their coefficients vary with time. Furthermore, we conducted follow-up simulations to illustrate the practical significance of our theoretical results.

引用

页数：17

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