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Synchronization criterion for Lur'e type complex dynamical networks with time-varying delay SCIE SCOPUS

Title
Synchronization criterion for Lur'e type complex dynamical networks with time-varying delay
Authors
Ji, DHPark, JHYoo, WJWon, SCLee, SM
Date Issued
2010-02-22
Publisher
ELSEVIER SCIENCE BV
Abstract
In this Letter, the synchronization problem for a class of complex dynamical networks in which every identical node is a Lur'e system with time-varying delay is considered. A delay-dependent synchronization criterion is derived for the synchronization of complex dynamical network that represented by Lur'e system with sector restricted nonlinearities. The derived criterion is a sufficient condition for absolute stability of error dynamics between the each nodes and the isolated node. Using a convex representation of the nonlinearity for error dynamics, the stability condition based on the discretized Lyapunov-Krasovskii functional is obtained via LMI formulation. The proposed delay-dependent synchronization criterion is less conservative than the existing ones. The effectiveness of our work is verified through numerical examples. (C) 2010 Elsevier B.V. All rights reserved.
Keywords
Complex dynamical networks; Lur' e systems; Synchronization; Delay dependent criterion; Absolute stability; LMIs; MASTER-SLAVE SYNCHRONIZATION; H-INFINITY SYNCHRONIZATION; FEEDBACK-CONTROL; COUPLING DELAYS; SYSTEMS; STABILITY
URI
https://oasis.postech.ac.kr/handle/2014.oak/25492
DOI
10.1016/J.PHYSLETA.2010.01.005
ISSN
0375-9601
Article Type
Article
Citation
PHYSICS LETTERS A, vol. 374, no. 10, page. 1218 - 1227, 2010-02-22
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