Synchronization of Nonlinear Complex Spatiotemporal Networks Based on PIDEs with Multiple Time Delays: A P-sD Method

Jiashu Dai and Chengdong Yang
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Jiashu Dai: School of Computer and Information, Anhui Polytechnic University, Wuhu 241000, China
Chengdong Yang: School of Information Science and Technology, Linyi University, Linyi 276005, China

Mathematics, 2022, vol. 10, issue 3, 1-15

Abstract: This paper studies the synchronization control of nonlinear multiple time-delayed complex spatiotemporal networks (MTDCSNs) based on partial integro-differential equations. Firstly, dealing with an MTDCSN with time-invariant delays, P-sD control is employed and the synchronization criteria are obtained in terms of LMIs. Secondly, this control method is further used in an MTDCSN with time-varying delays. An example illustrates the effectiveness of the proposed methods.

Keywords: complex spatiotemporal networks; synchronization; LMIs; partial integro-differential equations (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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