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Research of Time-Delay Chaotic Systems via Linear Feedback

  • Conference paper
AsiaSim 2012 (AsiaSim 2012)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 324))

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Abstract

Based on the Razumikhin theorem of time-delay systems, this paper discusses chaos control and synchronization of chaotic systems with time-varying lags. A novel method for time-delay chaotic systems is derived. Linear and feasible controller is designed to control and synchronize Lorenz system with time-varying lags. The proposed controller can realize chaos control even though there exist unknown time-varying lags. This method can be applied to a class of systems with different time-varying delays too. Numerical simulation results are given to show the effectiveness of the proposed method.

Supported 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) and the "11th Five-Year Plan" 211 Construction Project of Shanghai University.

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Author information

Authors and Affiliations

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

    Hua Wang, Xin Wang, Xianhai Shen & Xuliang Zhang

Authors
  1. Hua Wang
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  2. Xin Wang
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  3. Xianhai Shen
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  4. Xuliang Zhang
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Editor information

Editors and Affiliations

  1. National CIMS Engineering Research Center, Department of Automation, Tsinghua University, 100084, Beijing, China

    Tianyuan Xiao

  2. School of Automation Science and Electrical Engineering, Beihang University, 100191, Beijing, China

    Lin Zhang

  3. School of Mechatronics Engineering and Automation, Shanghai University, 200072, Shanghai, China

    Minrui Fei

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© 2012 Springer-Verlag Berlin Heidelberg

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Wang, H., Wang, X., Shen, X., Zhang, X. (2012). Research of Time-Delay Chaotic Systems via Linear Feedback. In: Xiao, T., Zhang, L., Fei, M. (eds) AsiaSim 2012. AsiaSim 2012. Communications in Computer and Information Science, vol 324. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34390-2_28

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  • DOI: https://doi.org/10.1007/978-3-642-34390-2_28

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-34389-6

  • Online ISBN: 978-3-642-34390-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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