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Adaptive chaos synchronization in Chua's systems with noisy parameters

Salarieh, H ; Sharif University of Technology | 2008

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  1. Type of Document: Article
  2. DOI: 10.1016/j.matcom.2007.11.007
  3. Publisher: 2008
  4. Abstract:
  5. Using the Lyapunov stability theory an adaptive control is proposed for chaos synchronization between two Chua systems which have stochastically time varying unknown coefficients. The stochastic variations of the coefficients around their unknown mean values are modeled through Gaussian white noise produced by the Wiener process. It is shown that using the proposed adaptive control the mean square of synchronization error converges to an arbitrarily small bound around zero depending on the controller feedback gain. Simulation results indicate that the proposed adaptive controller has a high performance in synchronization of chaotic Chua circuits in noisy environment. © 2007 IMACS
  6. Keywords:
  7. Chaos theory ; Chaotic systems ; Control systems ; Control theory ; Synchronization ; System stability ; Telecommunication networks ; White noise ; Adaptive chaos synchronizations ; Adaptive control ; Adaptive controllers ; Adaptive controls ; Chaos synchronizations ; Chua circuits ; Chua systems ; Chua's systems ; Controller feedback gains ; Gaussian white noises ; Lyapunov stability ; Lyapunov stability theories ; Mean squares ; Mean values ; Noisy environments ; Simulation results ; Stochastic chaos ; Stochastic variations ; Synchronization errors ; Time varying ; Unknown coefficients ; Wiener processes ; Adaptive control systems
  8. Source: Mathematics and Computers in Simulation ; Volume 79, Issue 3 , December , 2008 , Pages 233-241 ; 03784754 (ISSN)
  9. URL: https://www.sciencedirect.com/science/article/abs/pii/S0378475407003229