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Research Article | Open Access

Link exponential synchronization of discrete-time complex dynamic networks with infinite distributed delay

Er-Yong Cong1,2, Li Zhu1( ), Xian Zhang3,4( )
Department of Mathematics, Harbin University, Harbin 150086, China
Heilongjiang Provincial Key Laboratory of the Intelligent Perception and Intelligent Software, Harbin University, Harbin 150080, China
School of Mathematical Science, Heilongjiang University, Harbin 150080, China
Heilongjiang Provincial Key Laboratory of the Theory and Computation of Complex Systems, Heilongjiang University, Harbin 150080, China
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Abstract

This paper investigates the link exponential synchronization (LES) problem of a class of discrete-time complex dynamic networks (DTCDNs) which consist of infinite distributed delay, node complex dynamic subsystems (NCDS), and link complex dynamic subsystems (LCDS) with mutual coupling relationships. A mathematical induction method is proposed to derive the global exponential stability criterion of error systems. The obtained LES is described using linear scalar inequalities, which are very simple and easy to verify based on standard software tools such as YALMIP. Finally, it was validated through an illustrative example.

Keywords

discrete-time complex dynamic networks (DTCDNs)link exponential synchronization (LES)infinite distributed delays

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Electronic Research Archive
Volume 34 Issue 7,
July 2026
Pages 5102-5118
DOI: 10.3934/era.2026226

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Cite this article:
Cong E-Y, Zhu L, Zhang X. Link exponential synchronization of discrete-time complex dynamic networks with infinite distributed delay. Electronic Research Archive, 2026, 34(7): 5102-5118. https://doi.org/10.3934/era.2026226

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Received: 15 April 2026
Revised: 01 June 2026
Accepted: 02 June 2026
Published: 15 July 2026
©2026 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)