Secure synchronisation for multiple coupled complex networks with time-varying delays under DoS attacks

Abstract

This paper investigates the secure synchronisation for multiple coupled complex networks with time-varying delays under Denial-of-Service attacks, in which the attacks are considered in the controller-to-actuator channel. A synchronisation criterion is established to ensure the secure synchronisation of the presented networks based on the designed adaptive topology observer, controller and Lyapunov function. Furthermore, the result adapts to study the synchronisation of complex networks without and with multiple time-varying delays. Finally, two numerical examples are provided to illustrate the availability of the derived theoretical results.