文献类型：期刊文献

英文题名：Impulsive Effects on Synchronization of Singularly Perturbed Complex Networks With Semi-Markov Jump Topologies

作者：Liang, Kun[1];He, Wangli[1];Xu, Jing[1];Qian, Feng[1]

机构：[1]East China Univ Sci & Technol, Key Lab Smart Mfg Energy Chem Proc, Minist Educ, Shanghai 200237, Peoples R China

年份：2022

卷号：52

期号：5

起止页码：3163

外文期刊名：IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS

收录：;EI(收录号：20211210110687);WOS:【SCI-EXPANDED(收录号:WOS:000732200400001)】；

基金：This work was supported in part by the National Natural Science Foundation of China (Basic Science Center Program) under Grant 61988101, Grant 61922030, and Grant 61773163; in part by the International (Regional) Cooperation and Exchange Project under Grant 61720106008; in part by the Shanghai Rising-Star Program under Grant 18QA1401400; in part by the Natural Science Foundation of Shanghai under Grant 18ZR1409300; and in part by Fundamental Research Funds for Central Universities, and the 111 Project under Grant B17017.

语种：英文

外文关键词：Impulsive effects; semi-Markov jump topologies; singularly perturbed complex networks (SPCNs); synchronization

摘要：Synchronization of a class of nonlinear singularly perturbed complex networks (SPCNs) with semi-Markov jump topologies and impulsive effects is studied in this article. A complex network with a kind of random switching topologies is considered, where the randomness is depicted by a semi-Markov chain. A method is put forward to obtain the upper bound of singularly perturbed parameter (SPP) with different coupling strengths, and the concept of average impulsive interval is introduced to regulate the frequency of impulses. By utilizing the SPP-dependent semi-Markovian Lyapunov function, some sufficient conditions are derived for achieving synchronization of an SPCN. The effectiveness and validity of the proposed synchronization strategy are verified by two numerical examples.