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Research Article | Open Access

Robustness analysis of exponential synchronization in complex dynamic networks with random perturbations

Qike Zhang, Wenxiang Fang, Tao Xie( )
School of Mathematics and Statistics, Hubei Normal University, Huangshi 435002, Hubei, China
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Abstract

This article discusses the robustness of exponential synchronization (ESy) of complex dynamic networks (CDNs) with random perturbations. Using the Gronwall-Bellman lemma and partial inequality techniques, by solving the transcendental equation, the maximum perturbation intensity of the CDN is estimated. This implies that the disturbed system achieves ESy if the disturbance intensity is within the range of our estimation. We illustrate the theoretical results with two numerical examples.

Keywords

complex dynamic networkexponential synchronizationrandom perturbationsrobustness
CLC number: 93B35, 93C73

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AIMS Mathematics
Volume 8 Issue 9,
September 2023
Pages 20487-20509
DOI: 10.3934/math.20231044

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Cite this article:
Zhang Q, Fang W, Xie T. Robustness analysis of exponential synchronization in complex dynamic networks with random perturbations. AIMS Mathematics, 2023, 8(9): 20487-20509. https://doi.org/10.3934/math.20231044

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Received: 08 May 2023
Revised: 02 June 2023
Accepted: 12 June 2023
Published: 15 September 2023
©2023 the Author(s), licensee AIMS Press.

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