Synchronization for chaotic Lur'e systems with sector-restricted nonlinearities via delayed feedback control

Title
Synchronization for chaotic Lur'e systems with sector-restricted nonlinearities via delayed feedback control
Author(s)
박주현S.M. Lee[S.M. Lee]S.J. Choi[S.J. Choi]D.H. Ji[D.H. Ji]S.C. Won[S.C. Won]
Keywords
MASTER-SLAVE SYNCHRONIZATION; TIME-VARYING DELAY; OUTPUT-FEEDBACK; CRITERIA
Issue Date
201001
Publisher
SPRINGER
Citation
NONLINEAR DYNAMICS, v.59, no.1-2, pp.277 - 288
Abstract
In this paper, the effects of time delay on chaotic master-slave synchronization scheme are considered. Using delayed feedback control scheme, a delay-dependent stability criterion is derived for the synchronization of chaotic systems that are represented by Lur'e system with sector-restricted nonlinearities. The derived criterion is a sufficient condition for absolute stability of error dynamics between the master and the slave system. Using a convex representation of the nonlinearity, the stability condition based on the 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.
URI
http://hdl.handle.net/YU.REPOSITORY/23037http://dx.doi.org/10.1007/s11071-009-9537-5
ISSN
0924-090X
Appears in Collections:
공과대학 > 전기공학과 > Articles
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