Synchronization of a complex dynamical network with coupling time-varying delays via sampled-data control

Title
Synchronization of a complex dynamical network with coupling time-varying delays via sampled-data control
Author(s)
박주현이태희오쟁광
Keywords
NEURAL-NETWORKS; CONTROL-SYSTEMS; STABILITY; CRITERIA; CHAOS
Issue Date
201210
Publisher
ELSEVIER SCIENCE INC
Citation
APPLIED MATHEMATICS AND COMPUTATION, v.219, no.3, pp.1354 - 1366
Abstract
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 in system dynamics, the stability condition based on Lyapunov stability theory is obtained by utilization of linear matrix inequality formulation to find the controller which achieves the synchronization of a complex dynamical network with coupling time-varying delay. Finally, two numerical examples are given to illustrate the effectiveness of the proposed methods. (C) 2012 Elsevier Inc. All rights reserved.
URI
http://hdl.handle.net/YU.REPOSITORY/27165http://dx.doi.org/10.1016/j.amc.2012.07.042
ISSN
0096-3003
Appears in Collections:
공과대학 > 전기공학과 > Articles
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