of Fractional-order Complex Dynamical Networks with Actuator Failure by Dynamical Event-triggered Pinning Control

Abstract

This article investigates a new dynamical event-triggered pinning control (ETPC) to handle the synchronization problem of fractional-order complex dynamical networks (FOCDNs) with actuator faults. Firstly, in order to improve the stability of the control system, a fault-tolerant control system (FTCS) based on ETPC is established. The dynamical event-triggered control (ETC) effectively reduces the number of triggering of the system and saves communication resources by constructing an internal dynamical variable. Then, the sufficient conditions for realizing synchronization of FOCDNs are obtained by using the fractional-order Lyapunov theory. It is further proved that the minimum time interval of the system is less than a positive constant, thus avoiding the Zeno phenomenon. Finally, the reliability of the results is verified by simulation.