Synchronization for chaotic Lur’e systems with sector-restricted nonlinearities via delayed feedback control View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2010-01

AUTHORS

S. M. Lee, S. J. Choi, D. H. Ji, Ju H. Park, S. C. Won

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. More... »

PAGES

277

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s11071-009-9537-5

DOI

http://dx.doi.org/10.1007/s11071-009-9537-5

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1027275035


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