随机扰动下复杂动态网络指数同步的鲁棒性分析

IF 1.8 3区数学 Q1 MATHEMATICS

AIMS Mathematics Pub Date : 2023-01-01 DOI:10.3934/math.20231044

Qike Zhang, Wenxiang Fang, Tao Xie

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引用次数: 2

摘要

讨论了随机扰动下复杂动态网络指数同步的鲁棒性。利用Gronwall-Bellman引理和偏不等式技术，通过求解超越方程，估计了CDN的最大扰动强度。这意味着，如果扰动强度在我们的估计范围内，则扰动系统达到了ESy。我们用两个数值例子来说明理论结果。

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

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.

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来源期刊

AIMS Mathematics Mathematics-General Mathematics

CiteScore

3.40

自引率

13.60%

发文量

769

审稿时长

90 days

期刊介绍： AIMS Mathematics is an international Open Access journal devoted to publishing peer-reviewed, high quality, original papers in all fields of mathematics. We publish the following article types: original research articles, reviews, editorials, letters, and conference reports.