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Robust chaos synchronization using input-to-state stable control

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Abstract

In this paper, we propose a new input-to-state stable (ISS) synchronization method for a general class of chaotic systems with disturbances. Based on Lyapunov theory and linear matrix inequality (LMI) approach, for the first time, the ISS synchronization controller is presented not only to guarantee the asymptotic synchronization but also to achieve the bounded synchronization error for any bounded disturbance. The proposed controller can be obtained by solving a convex optimization problem represented by the LMI. Simulation studies are presented to demonstrate the effectiveness of the proposed ISS synchronization scheme.

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Authors and Affiliations

  1. Faculty of the Division of Electronics and Control Engineering, Wonkwang University, 344-2 Shinyong-dong, Iksan, 570-749, Korea

    Choon Ki Ahn

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  1. Choon Ki Ahn
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Correspondence to Choon Ki Ahn.

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Ahn, C.K. Robust chaos synchronization using input-to-state stable control. Pramana - J Phys 74, 705–718 (2010). https://doi.org/10.1007/s12043-010-0092-x

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  • DOI: https://doi.org/10.1007/s12043-010-0092-x

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