文献类型：期刊文献

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

作者：Chen, Tao[1];Peng, Shiguo[2];Fu, Zhiwen[3]

机构：[1]Lingnan Normal Univ, Sch Mech & Elect Engn, Zhanjiang 524048, Peoples R China;[2]Guangdong Univ Technol, Sch Automat, Guangzhou 510006, Peoples R China;[3]Guangdong Ocean Univ, Sch Elect & Informat Engn, Zhanjiang 524088, Peoples R China

年份：2025

卷号：23

期号：4

起止页码：1105

外文期刊名：INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS

收录：SCI-EXPANDED(收录号：WOS:001465322000002)、、EI(收录号：20252018434328)、Scopus(收录号：2-s2.0-105005068688)、WOS

基金：This work was supported by the National Natural Science Foundation of China under Grant 61973092.

语种：英文

外文关键词：Finite-time stability; impulsive system; Lyapunov-Razumikhin method; multi-agent systems; stochastic delayed system

外文摘要：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.