Razumikhin-type Theorem on Finite-time Stability of Impulsive Stochastic Delayed Systems and Applications to Multi-agent Systems

被引：0

作者：

Tao Chen ^{[1
]}

Shiguo Peng ^{[2
]}

Zhiwen Fu ^{[3
]}

机构：

[1] Lingnan Normal University,School of Mechanical and Electrical Engineering

[2] Guangdong University of Technology,School of Automation

[3] Guangdong Ocean University,School of Electronics and Information Engineering

来源：

International Journal of Control, Automation and Systems | 2025年 / 23卷 / 4期

关键词：

Finite-time stability; impulsive system; Lyapunov-Razumikhin method; multi-agent systems; stochastic delayed system;

D O I：

10.1007/s12555-024-0927-8

中图分类号：

学科分类号：

摘要：

This paper focuses on the Lyapunov-Razumikhin method for finite-time stability (FTS) in probability of impulsive stochastic delayed systems (ISDSs). To establish these properties, several Lyapunov-based Razumikhin conditions on FTS for ISDSs are derived by employing the comparison principle, which explicitly incorporate delay-dependent factors. Therefore, the conservativeness is less. Then, the theoretical results are utilized to address the problem of finite-time consensus in a class of stochastic delayed multi-agent systems by a designed hybrid controller, which includes an impulsive controller and a finite-time controller. It is noted that the finite-time controller contains no sign function that can avoid the chattering phenomenon caused by control signals. At last, a numerical example is presented to demonstrate the validity of the results obtained.

引用

页码：1105 / 1117

页数：12