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    Minimum Time Synchronization of Chaotic Systems via Numerical Optimal Control Techniques

    Access Status
    Fulltext not available
    Authors
    Xu, Honglei
    Zhou, Guanglu
    Caccetta, Louis
    Date
    2014
    Type
    Book Chapter
    
    Metadata
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    Citation
    Xu, H. and Zhou, G. and Caccetta, L. 2014. Minimum Time Synchronization of Chaotic Systems via Numerical Optimal Control Techniques. In Xu, J. and Teo, K.L. and Zhang, Y. (ed), Optimization and Control Techniques and Applications (Volume 86), pp. 153-165. Berlin: Springer-Verlag.
    Source Title
    Optimization and control techniques and applications
    DOI
    10.1007/978-3-662-43404-8_8
    ISBN
    9783662434031
    School
    Department of Mathematics and Statistics
    URI
    http://hdl.handle.net/20.500.11937/40498
    Collection
    • Curtin Research Publications
    Abstract

    Chaos synchronization has attracted much attention in recent decades since it has not only brought theoretical challenges but also could be applied to many real-world applications, such as digital communication, complex networks, and semiconductor lasers communication systems. We consider the minimum time problem of chaos synchronization via optimal control computation. The general synchronization scheme consists of identical/non-identical drive and response chaotic systems. We propose a novel computational approach to compute the minimum synchronization time of the drive-response chaotic systems and the corresponding optimal controls in a finite time horizon. By the control parametrization technique, the minimum-time chaos synchronization problem is transformed to an optimal parameter selection problem in two stages. A computational synchronization algorithm is hence devised to compute the minimum synchronization time and the optimal controls. For illustration, an exemplary scheme of Lorenz–Rossler chaotic systems is given to demonstrate the effectiveness of the proposed algorithm.

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