Title: Synchronisation of inertial reaction-diffusion complex networks with mixed time delays via spatiotemporal sampling control

Authors: Tiane Chen; Zaihe Cheng

Addresses: School of Internet of Things, Wuxi Institute of Technology, Wuxi, China ' School of Internet of Things, Wuxi Institute of Technology, Wuxi, China

Abstract: This paper addresses the global synchronisation problem of a class of inertial complex networks with reaction-diffusion (RD) terms and mixed time-varying delays. First, the spatiotemporal sampling control scheme using incomplete measurements is proposed to ensure the synchronisation of the delayed inertial RD complex networks, which deduce the update rate of the synchronisation controller. Secondly, by taking new appropriate Lyapunov-Krasovskii function, using improved Wirtinger Jensen inequalities, new synchronisation criteria are derived which depend on the relationship among the sampling time interval, the feedback control gain and the sampling space interval. Finally, two numerical simulation results substantiate the effectiveness of the theoretical results.

Keywords: reaction-diffusion; inertial complex networks; incomplete spatial measurements; spatiotemporal sampling control; STSC.

DOI: 10.1504/IJMIC.2021.121824

International Journal of Modelling, Identification and Control, 2021 Vol.37 No.3/4, pp.301 - 311

Received: 25 Oct 2020
Accepted: 06 Jan 2021

Published online: 07 Apr 2022 *

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