Synchronisation of inertial reaction-diffusion complex networks with mixed time delays via spatiotemporal sampling control
by Tiane Chen; Zaihe Cheng
International Journal of Modelling, Identification and Control (IJMIC), Vol. 37, No. 3/4, 2021

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.

Online publication date: Thu, 07-Apr-2022

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