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Linear feedback controller design method for time-delay chaotic systems

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Abstract

Based on the stability theory of time-delay systems, this paper discusses chaos control and synchronization problem of time-delay chaotic systems. Through the combining of a new theorem and the characters of the chaotic system, we have designed a linear controller to realize chaos control and synchronization for Lorenz system with time-varying lags. Finally, numerical simulations are provided to verify the effectiveness and feasibility of the developed method.

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Acknowledgements

The authors would thank the support by Natural Science Foundation of Shanghai (11ZR1412400), Innovation Fund of Shanghai University, the Scientific Special Research Fund for Training Excellent Young Teachers in Higher Education Institutions of Shanghai (No. shu10044), National Natural Science Foundation of China (Grant No. 61104006) and the “11th Five-Year Plan” 211 Construction Project of Shanghai University. The authors, hereby, gratefully acknowledge this support.

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Authors and Affiliations

  1. Shanghai Key Laboratory of Power Station Automation Technology, School of Mechatronics Engineering and Automation, Shanghai University, Shanghai, 200072, China

    Hua Wang, Xin Wang, Xiao-Jin Zhu & Xiao-Hua Wang

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  1. Hua Wang
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  2. Xin Wang
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  3. Xiao-Jin Zhu
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  4. Xiao-Hua Wang
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Correspondence to Hua Wang or Xiao-Hua Wang.

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Wang, H., Wang, X., Zhu, XJ. et al. Linear feedback controller design method for time-delay chaotic systems. Nonlinear Dyn 70, 355–362 (2012). https://doi.org/10.1007/s11071-012-0459-2

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  • DOI: https://doi.org/10.1007/s11071-012-0459-2

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