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Stabilization of discrete-time chaotic systems via improved periodic delayed feedback control based on polynomial matrix right coprime factorization

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Abstract

Delayed feedback control, proposed by Pyragas,is one of useful control methods of stabilizing unstable periodic orbits of chaotic systems without their exact information. This paper discusses an improved periodic delayed feedback control for the stabilization of the discrete-time chaotic systems. A technique to solve the generalized Sylvester matrix equation, based on polynomial matrix right coprime factorization, is introduced in order to give an explicit solution to the periodic gains of the closed-loop system. Moreover, some examples are demonstrated to show the effectiveness of the proposed method.

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Acknowledgements

This work has been supported by the Shanghai Jiaotong University Postdoctoral Scientific Research Foundation under Grant no. AE0300036.

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Authors and Affiliations

  1. Institute of Medical Precision Engineering and Intelligent System, School of Electronic Information and Electrical Engineering, Shanghai JiaoTong University, Shanghai, 200240, China

    Dasheng Liu

  2. School of Electronic Information and Electrical Engineering, Shanghai JiaoTong University, Shanghai, 200240, China

    Guozheng Yan

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  1. Dasheng Liu
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  2. Guozheng Yan
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Correspondence to Dasheng Liu.

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Liu, D., Yan, G. Stabilization of discrete-time chaotic systems via improved periodic delayed feedback control based on polynomial matrix right coprime factorization. Nonlinear Dyn 74, 1243–1252 (2013). https://doi.org/10.1007/s11071-013-1037-y

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  • DOI: https://doi.org/10.1007/s11071-013-1037-y

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