Fu Qianhua, Jiang Wenbo, Zhong Shouming, Shi Kaibo
School of Electrical Engineering and Electronic Information, Xihua University, Chengdu 610039, PR China.
School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 611731, PR China.
ISA Trans. 2023 Dec;143:360-369. doi: 10.1016/j.isatra.2023.09.010. Epub 2023 Sep 18.
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.
