Synchronization Control for Discrete-Time Delayed Complex Cyber-Physical Networks Under False Data Injection Attacks

This paper is concerned with the synchronization control problem for discrete-time complex cyber-physical networks with mixed delays and false data injection attacks. The polytopic model of closed-loop synchronization error dynamics is established by considering the pattern characteristics of false data injection attacks and input delays, which has essentially different from the traditional handling method. More specifically, the proposed polytopic model utilizes the current state of the closed-loop synchronization error dynamics, thereby facilitating the reduction of possible conservatism. In such a framework, a nonlinear synchronization control method is developed to eliminate the negative impact of cyber attacks, and sufficient conditions are derived to guarantee that the closed-loop error dynamics ultimately exponentially bounded. In the meanwhile, the design procedure of the synchronization controller is proposed for underlying complex cyber-physical networks subject to mixed delays and false data injection attacks. Finally, an illustrative example is delivered to demonstrate the effectiveness of the proposed method. DOI: 10.61416/ceai.v25i3.8360