Bounded Synchronization of Coupled Discontinuous Neural Networks Under an Event-Triggered Strategy*

This paper is focused on the bounded synchronization problem of coupled time-delayed neural networks with discontinuous activation functions. Firstly, an event-triggered control scheme is developed in order to save the limited communication resources. Then, based on Filippov solution, a control protocol is given to guarantee the leaderless bounded synchronization for linear coupled neural networks, while excluding the Zeno behavior. Moreover, a novel sufficient criterion under the strongly connected networks is derived by employing the Lyapunov-Krasovskii function theory and linear matrix inequality (LMI). Finally, the validity of the theoretical results is verified through simulation.