Event-triggered control of Markovian jump neural networks with time-varying delays under non-periodic DoS jamming attacks*

In this paper, the asymptotic stabilization of Markov Jump Neural Networks (MJNNs) with time-varying delays under aperiodic Denial-of-Service (DoS) attacks is studied. Firstly, in order to lessen the "unnecessary" waste of network resources, a Resilient Event-triggered Communication Scheme (RETCS) is designed for aperiodic DoS attacks, and then a new MJNNs model with time-varying delay considering aperiodic DoS attacks is established. Secondly, a new Lyapunov function is constructed. Based on Lyapunov stability theory and linear matrix inequality technique, the stability criterion of MJNNs with time-varying delay is obtained. Then, the criteria for cooperative design of the trigger parameters of RETCS and the gain matrix of the controller is proposed. A numerical example is then provided to demonstrate the validity of the findings.