Observer-based secure synchronization control of directed complex-valued dynamical networks under link attacks

Secure synchronization control is critical for information interaction in complex dynamical networks suffering from malicious attacks. This paper addresses the observer-based secure synchronization control of directed complex-valued dynamical networks (DCDNs) with or without parameter perturbations under link attacks. To overcome the unavailablity of node-states in some circumstances, observer is designed to estimate the true node-states. Differing from previously observer-based synchronization control problems for DCDNs, link attacks disrupt communication channels and lead to disconnected topologies of the communication networks. Moreover, regardless of whether the impacts of link attacks on the control and measurement channels are identical or nonidentical, by applying the Lyapunov method and inequality techniques in the complex field, several sufficient criteria are derived for ensuring the secure synchronization of DCDNs in the presence of link attacks. Eventually, illustrative examples are presented to substantiate the effectiveness of the proposed theoretical strategies.