Finite-time and fixed-time bipartite synchronization of signed networks with mixed delays

Abstract

This paper investigates finite-time (FET) and fixed-time (FDT) bipartite synchronization of signed networks with time-varying and distributed delays (mixed delays) using quantized control strategies. The communication links between adjacent nodes can be either positive or negative, representing the signed nature of the network. Assuming a balanced network structure, sufficient conditions for FET and FDT bipartite synchronization are derived through coordinate transformations, norm analytical techniques, and differential inequalities. Finally, three simulation results are provided to validate the efficacy of the theoretical findings