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

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

doi:10.1007/s11071-009-9537-5

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

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

School of Electronics Engineering

Research output: Contribution to journal › Article › peer-review

68 Scopus citations

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.

Original language	English
Pages (from-to)	277-288
Number of pages	12
Journal	Nonlinear Dynamics
Volume	59
Issue number	1-2
DOIs	https://doi.org/10.1007/s11071-009-9537-5
State	Published - Jan 2010

Keywords

Absolute stability
Delay-dependent criterion
LMIs
Lur'e systems
Synchronization

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10.1007/s11071-009-9537-5

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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.",

keywords = "Absolute stability, Delay-dependent criterion, LMIs, Lur'e systems, Synchronization",

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AU - Choi, S. J.

AU - Ji, D. H.

AU - Park, Ju H.

AU - Won, S. C.

PY - 2010/1

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N2 - 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.

AB - 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.

KW - Absolute stability

KW - Delay-dependent criterion

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JO - Nonlinear Dynamics

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ER -

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

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Keywords

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