Exponential synchronization of dynamical complex networks via random impulsive scheme

This paper investigates the synchronization of a complex network based on a class of random impulsive differential equation systems. Based on the random impulsive strategy of Poisson distribution, a random impulsive dynamical network model is constructed. Using the Lyapunov principle, random proces...

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Bibliographic Details
Main Authors: Bowen Zhou, Xiao-Bao Shu, Fei Xu, Fengyu Yang, Ya Wang
Format: Article
Language:English
Published: Vilnius University Press 2024-06-01
Series:Nonlinear Analysis
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Online Access:https://www.journals.vu.lt/nonlinear-analysis/article/view/35728
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Summary:This paper investigates the synchronization of a complex network based on a class of random impulsive differential equation systems. Based on the random impulsive strategy of Poisson distribution, a random impulsive dynamical network model is constructed. Using the Lyapunov principle, random process theory, linear matrix inequality method, and some basic analysis methods, we realize the global mean-square index synchronization of the model. We then get sufficient criteria for the synchronization. By presenting a numerical example, we verified the validity of the theoretical results.
ISSN:1392-5113
2335-8963