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Adaptive synchronization of two different chaotic systems with time varying unknown parameters

Salarieh, H ; Sharif University of Technology | 2008

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  1. Type of Document: Article
  2. DOI: 10.1016/j.chaos.2006.08.038
  3. Publisher: 2008
  4. Abstract:
  5. In this paper a nonlinear control method based on Lyapunov stability theorem is proposed to design an adaptive controller for synchronizing two different chaotic systems. It is assumed that the unknown parameters of the drive and the response chaotic systems are time varying. It is shown that the proposed scheme can identify the system parameters if the system parameters are time invariant and the richness conditions is satisfied. To demonstrate the effectiveness of the proposed technique it has been applied to Lorenz-Chen dynamic systems, as drive-response systems. Simulation results indicate that the proposed adaptive controller has a high performance in synchronizing two chaotic systems. © 2006 Elsevier Ltd. All rights reserved
  6. Keywords:
  7. Control nonlinearities ; Lyapunov functions ; Parameter estimation ; Synchronization ; Adaptive synchronization ; Drive response systems ; System parameters ; Time varying unknown parameters ; Chaotic systems
  8. Source: Chaos, Solitons and Fractals ; Volume 37, Issue 1 , 2008 , Pages 125-136 ; 09600779 (ISSN)
  9. URL: https://www.sciencedirect.com/science/article/abs/pii/S0960077906008356