Exponential synchronization of complex dynamical networks with Markovian jump parameters and stochastic delays and its application to multi-agent systems
type: Item
instance of: scholarly article
title: Exponential synchronization of complex dynamical networks with Markovian jump parameters and stochastic delays and its application to multi-agent systems
zbMATH Open document ID: 1269.34058
author: Jing-Wen Yi
author: Yan-Wu Wang
author: Jiang-Wen Xiao
author: Yuehua Huang
published in: Communications in Nonlinear Science and Numerical Simulation
publication date: 2013-01-25T00:00:00Z
review text: One of the significant and interesting phenomena in complex dynamical networks is synchronization. In this paper, the synchronization problem of a complex dynamical network with coupling time-varying delays via delayed sampled-data controller is investigated. In order to make full use of the sawtooth structure characteristic of the sampling input delay, a discontinuous Lyapunov functional is proposed based on the extended Wirtinger inequality. From a convex representation of the sector-restricted nonlinearity of the system, the stability condition based on Lyapunov's stability theory is obtained by using linear matrix inequality formulation to find the controller which achieves the synchronization of a complex dynamical network with coupling time-varying delay. The results show that the use of a discontinuous Lyapunov functional can get less conservatism than the use of a continuous Lyapunov functional. Finally, two numerical examples are given to illustrate the effectiveness of the proposed methods.
reviewed by: Qintao Gan
Mathematics Subject Classification ID: 34D06
Mathematics Subject Classification ID: 34H05
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 34K50
Mathematics Subject Classification ID: 34K25
zbMATH DE Number: 6130744
zbMATH Keywords: complex dynamical network
zbMATH Keywords: multi-agent system
zbMATH Keywords: synchronization
zbMATH Keywords: time delay
zbMATH Keywords: Markovian jump
MaRDI profile type: Publication
full work available at URL: j.cnsns.2012.09.031
OpenAlex ID: W2035478357
DOI: 10.1016/J.CNSNS.2012.09.031
description: scientific article; zbMATH DE number 6130744