H∞ finite-time secure synchronization for complex dynamic networks based on dynamic event-triggered control

This paper focuses on H-infinity finite-time synchronization for a class of complex dynamic networks under hybrid cyberattacks via a dynamic event-triggered control strategy. Firstly, to conserve network resources, a dynamic event-triggered scheme is designed for each node, ensuring data transmission occurs only when predefined conditions are satisfied. Within this framework, a novel synchronization error model is established for complex dynamic networks subjected to both denial-of-service attacks and false data injection attacks. By employing the Lyapunov functional method and switching system theory, sufficient conditions are derived for the finite-time boundedness of the synchronization error system. Furthermore, by introducing the H-infinity performance index, additional sufficient conditions in the form of linear matrix inequalities (LMIs) are obtained for the synchronization error system with H-infinity finite-time boundedness, and the controller and triggering parameters are codesigned. Finally, two numerical examples are provided to demonstrate the validity of the proposed results in this paper.