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Identification of 4D Lü hyper-chaotic system using identical systems synchronization and fractional adaptation law

Abedini, M ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.1016/j.apm.2014.03.020
  3. Abstract:
  4. In this paper, the parameters of a 4D Lü hyper-chaotic system are identified via synchronization of two identical systems. Unknown parameters of the drive system are identified by an adaptive method. Stability of the closed-loop system with one state feedback controller is studied by using the Lyapunov theorem. Also the convergence of the parameters to their true values is proved. Then a fractional adaptation law is applied to reduce the time of parameter convergence. Finally the results of both integer and fractional methods are compared
  5. Keywords:
  6. Fractional order dynamics ; Lu hyper-chaotic system ; System identification ; Chaotic systems ; Closed loop systems ; Feedback ; Identification (control systems) ; State feedback ; Synchronization ; Adaptive Control ; Chaos synchronization ; Fractional methods ; Fractional order ; Hyper-chaotic systems ; Lyapunov theorems ; Parameter convergence ; State feedback controller ; Adaptive control systems
  7. Source: Applied Mathematical Modelling ; Vol. 38, issue. 19-20 , 2014 , p. 4652-4661
  8. URL: http://www.sciencedirect.com/science/article/pii/S0307904X14001231