Finite-time quantized dynamic event-triggered control for cluster synchronization of Markovian jump complex dynamic networks with time-varying delays and actuator faults

Abstract

In this article, by employing the quantized dynamic event-triggered (ET) and adaptive fault-tolerant control mechanisms, the finite-time cluster synchronization (FTCS) criterion of Markov jump complex dynamic networks (MJCDNs) with actuator faults is established. A kind of novel adaptive controller is designed and appropriate Lyapunov functions are applied to eliminate the effectiveness of actuator faults. Further on historical ET schemes, a more universal dynamic ET control mechanism for MJCDNs is considered in this article, which can reduce the network load of MJCDNs more effectively. Meanwhile, the Zeno behavior is ruled out availably. Finally, the numerical simulation example is presented to verify the validity of the theory.