Finite-time synchronisation for periodic delayed master-slave neural networks with weighted try-once-discard protocol

Abstract

This paper focuses on the finite-time (FT) synchronisation for master-slave periodic neural networks (NNs) with mixed time-varying delays. In order to make full use of the limited network bandwidth caused by sensor energy constraint, a transmission channel assignment method is established, and a weighted try-once-discard (WTOD) protocol is employed for each channel. A WTOD protocol-dependent periodic controller is designed to ensure that the slave periodic NNs can synchronise with the master one. Based on a periodic Lyapunov–Krasovskii function, sufficient conditions are established to guarantee that the synchronisation error system is FT bounded. Finally, a numerical example is presented to demonstrate the validity of the theoretical results.