Research of Time-Delay Chaotic Systems via Linear Feedback

  • Hua Wang
  • Xin Wang
  • Xianhai Shen
  • Xuliang Zhang
Part of the Communications in Computer and Information Science book series (CCIS, volume 324)


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.


Lorenz system Chaos Synchronization Lyapunov-Razumikhin function Time-delay Linear controller 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Hua Wang
    • 1
  • Xin Wang
    • 1
  • Xianhai Shen
    • 1
  • Xuliang Zhang
    • 1
  1. 1.School of Mechatronics Engineering and Automation, Shanghai Key Laboratory of Power Station Automation TechnologyShanghai UniversityShanghaiChina

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