Exponential synchronization of stochastic complex dynamical networks with impulsive perturbations and Markovian switching
type: Item
instance of: scholarly article
title: Exponential synchronization of stochastic complex dynamical networks with impulsive perturbations and Markovian switching
zbMATH Open document ID: 1407.34077
DOI: 10.1155/2014/927858
author: Anding Dai
author: Dongbing Tong
author: Jun Yang
author: Wuneng Zhou
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: This paper investigates the exponential synchronization problem of stochastic complex dynamical networks with impulsive perturbation and Markovian switching. The complex dynamical networks consist of \(\kappa\) modes, and the networks switch from one mode to another according to a Markovian chain with known transition probability. Based on the Lyapunov function method and stochastic analysis, by employing \(M\)-matrix approach, some sufficient conditions are presented to ensure the exponential synchronization of stochastic complex dynamical networks with impulsive perturbation and Markovian switching, and the upper bound of impulsive gain is evaluated. At the end of this paper, two numerical examples are included to show the effectiveness of our results.
Mathematics Subject Classification ID: 34D06
Mathematics Subject Classification ID: 34F05
Mathematics Subject Classification ID: 93E03
Mathematics Subject Classification ID: 93E15
zbMATH DE Number: 7017638
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/927858
OpenAlex ID: W1992962638
Wikidata QID: Q59070872
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description: scientific article; zbMATH DE number 7017638