Global dissipativity and adaptive synchronization for fractional‐order time‐delayed genetic regulatory networks

Abstract

AbstractThis manuscript examines global dissipativity and synchronization criteria for time‐delayed fractional‐order gene regulatory networks (FGRNs). The Lyapunov stability theory is used to examine a class of FGRNs with delay arguments that are inspired by the integer‐order delayed gene regulatory network model. Some sufficient criteria are established using the fractional‐order comparison principle and stability theorem for fractional‐order time‐delayed systems to ensure the global dissipativity solution of FGRNs with both feedback regulation and translation time delays. Furthermore, for FGRNs, the global asymptotic synchronization condition is accomplished by constructing an adaptive delayed feedback control method for the master–slave system. Finally, two numerical examples are provided to demonstrate the applicability and superiority of the conclusions obtained.