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.

Keywords:

• Event-triggered control
• boundary feedback control
• synchronisation
• nonlinear coupling reaction–diffusion systems

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work is supported by the Natural Science Foundation of Shanghai [No. 19ZR1400500] and the Fundamental Research Funds for the Central Universities and Graduate Student Innovation Fund of Donghua University [No. CUSF-DH-D-2022080].