Cluster Synchronization of Complex Networks Under Denial-of-Service Attacks With Distributed Adaptive Strategies

Abstract

This article studies the security cluster synchronization of complex networks under denial-of-service (DoS) attacks. First, an adaptive strategy is designed to update coupling weights and gains for ensuring cluster synchronization, even if the control channels of complex networks suffer from DoS attacks. This security strategy is developed in a distributed framework, in which only local information is utilized instead of any global information, such as the network topology and the number of nodes. Then, the security cluster synchronization analysis against DoS attacks is extended to the case where only partial coupling weights on edges are updated. By constructing suitable Lyapunov functions with exponential terms, the corresponding security cluster synchronization conditions are presented, and the DoS attack duration ratio that the system can tolerate is also obtained. Finally, a network composed of Chua’s circuits is employed to validate the efficiency of the derived methods.