Fast fixed-time impulsive bipartite synchronization of TS fuzzy complex networks with signed graphs

• Published in: Nonlinear analysis. Hybrid systems 2023-05, Vol.48, p.101325, Article 101325
• Main Authors: Yang, Shiju, Zhang, Wanli, Ruan, Dongmei, Yang, Ting, Li, Yu
• Format: Article
• Language: English
• Subjects: Bipartite synchronization; Fast fixed-time control; Impulsive control; TS fuzzy complex networks
• ISSN: 1751-570X
• DOI: 10.1016/j.nahs.2022.101325

This dissertation mainly discusses the fast fixed-time bipartite synchronization (FFDT-BS) of TS fuzzy complex networks (TS FCNs) with signed graphs under impulsive control, where the communications between adjacent nodes are both cooperative and competitive. Different from most control protocol, the control process can be divided into two steps (impulsive control before settling time T and fixed-time control after T), and both the impulsive controller and FFDT controller are designed as fuzzy logic systems. By adopting impulsive control theory and mathematical induction, and constructing comparison system, some novel sufficient criteria are presented to guarantee the FFDT-BS of the TS FCNs within bounded time independent of the initial conditions. It is noting that the bipartite synchronization achieves faster convergence than most existing results, which is more practical and efficient. The performance comparisons of pure impulsive control, pure FFDT control, exist both impulsive control and FFDT control demonstrate the correctness of the theoretical analysis.