Preassigned-time bipartite synchronization of complex networks with quantized couplings and stochastic perturbations

By using the preassigned-time (PAT) control method, this paper considers bipartite synchronization of complex networks (CNs) with quantized couplings and stochastic perturbations. According to the characteristics of CNs and bipartite synchronization, a new controller is designed. In the controller, some control parameters are switched with the information of the error system, and the linear feedback term is not considered. Based on the properties of the Weiner process, a PAT criterion is given to guarantee the stochastic bipartite synchronization of CNs with a different Lyapunov function. In order to compare, a fixed-time control is designed and a synchronization criterion is also established. Moreover, experimental results effectively demonstrate the correctness of the theoretical analysis. (C) 2022 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.

Automated summary

This paper investigates the bipartite synchronization problem of complex networks with quantized couplings and stochastic perturbations using the preassigned-time control method. By designing a new controller and providing a PAT criterion, stochastic bipartite synchronization is achieved.