Event-triggered boundary feedback synchronisation control of nonlinear coupling reaction–diffusion neural networks

Abstract

This paper aims to deal with Robin boundary synchronisation control for a kind of nonlinear coupling reaction–diffusion neural networks (RDNNs) with non-identical nodes. Some novel sufficient conditions involving the parameters of event-triggered mechanism are proposed to achieve synchronisation of this RDNNs. By utilising Lyapunov's method and Wiringer inequality, the error closed-loop systems with the designed event-triggered controller are proved to be well-posed and the RDNNs to be exponentially synchronised with target system. Moreover, Zeno behaviour of event-triggered control is avoided. Finally, the effectiveness of our theoretical results is verified by one numerical example.