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

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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.

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Authors and Affiliations

  1. Department of Electronic Engineering, Daegu University Jinryang-eup, Gyungsan-city, Gyungbuk, 712-714, Republic of Korea

    S. M. Lee

  2. Department of Electronic and Electrical Engineering, Pohang University of Science and Technology, San 31 Hyoja-Dong, Pohang, 790-784, Republic of Korea

    S. J. Choi, D. H. Ji & S. C. Won

  3. Department of Electrical Engineering, Yeungnam University, 214-1 Dae-Dong, Kyongsan, 712-749, Republic of Korea

    Ju H. Park

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  1. S. M. Lee
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  2. S. J. Choi
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  3. D. H. Ji
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  4. Ju H. Park
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  5. S. C. Won
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Correspondence to Ju H. Park.

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Lee, S.M., Choi, S.J., Ji, D.H. et al. Synchronization for chaotic Lur’e systems with sector-restricted nonlinearities via delayed feedback control. Nonlinear Dyn 59, 277–288 (2010). https://doi.org/10.1007/s11071-009-9537-5

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  • DOI: https://doi.org/10.1007/s11071-009-9537-5

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