Novel adaptive synchronization in finite-time and fixed-time for impulsive complex networks with semi-Markovian switching

Qianhua Fu; Wenbo Jiang; Shouming Zhong; Kaibo Shi

doi:10.1016/j.isatra.2023.09.010

Novel adaptive synchronization in finite-time and fixed-time for impulsive complex networks with semi-Markovian switching

ISA Trans. 2023 Dec:143:360-369. doi: 10.1016/j.isatra.2023.09.010. Epub 2023 Sep 18.

Authors

Qianhua Fu¹, Wenbo Jiang², Shouming Zhong³, Kaibo Shi⁴

Affiliations

¹ School of Electrical Engineering and Electronic Information, Xihua University, Chengdu 610039, PR China. Electronic address: qhfu8@mail.xhu.edu.cn.
² School of Electrical Engineering and Electronic Information, Xihua University, Chengdu 610039, PR China. Electronic address: caswenbojiang@gmail.com.
³ School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 611731, PR China. Electronic address: zhongsm@uestc.edu.cn.
⁴ School of Information Science and Engineering, Chengdu University, Chengdu, 610106, PR China. Electronic address: skbs111@163.com.

PMID: 37783597
DOI: 10.1016/j.isatra.2023.09.010

Abstract

This paper intensively studied the finite-time (FNT) and fixed-time (FXT) synchronization issues for complex networks (CNs) with semi-Markovian switching and impulsive effect. The impulses are assumed to be independent of the semi-Markovian switching. Firstly, a unified FNT and FXT stability criterion of impulsive dynamical system with time-varying delays is extended by comparison principle. Secondly, two novel hybrid control schemes, which are composed of adaptive gain and switching state-feedback are proposed. Thirdly, by employing Kronecker product, Lyapunov-Krasovskii functional and inequality technique, FNT and FXT synchronization criteria for impulsive CNs with semi-Markovian switching are presented in a set of low-dimensional linear matrix inequalities, and the settling times are computed respectively. Finally, simulations are given to verify the proposed adaptive FNT and FXT synchronization criteria.

Keywords: Complex networks; Impulsive; Semi-Markovian; Synchronization.