General decay synchronisation of discontinuous fuzzy neural networks with discrete and distributed time-delays via nonlinear feedback control

Abstract

This paper aims to provide a new framework to study the general decay synchronisation analysis of a class of fuzzy neural networks with discontinuous activations, discrete and distributed time-delays. To achieve the targets, by using functional differential inclusions theory, inequality technique and the non-smooth analysis of Lyapunov–Krasovskii functional, some verifiable algebraic criteria are given to guarantee the general decay synchronisation via a new nonlinear feedback controller. The nonlinear feedback controller can not only deal with the discontinuous activations but also the mixed time-varying delays. Compared with the previous results on general decay synchronisation of delayed neural networks, the theoretical results of this paper are more generalised and inclusive. Finally, two simulation examples have been shown to verify the correctness and advantages of our main results.