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Adaptive control and synchronization of the perturbed Chua’s system

Author

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  • Botmart, Thongchai
  • Niamsup, Piyapong

Abstract

In this paper, we study perturbed Chua’s system. First, we study the stability of equilibrium points of perturbed Chua’s system. Then, we control the chaotic behavior of perturbed Chua’s system to its equilibrium points using linear feedback control and adaptive control methods. Finally, we study chaos synchronization of perturbed Chua’s system by using active control and adaptive control methods.

Suggested Citation

  • Botmart, Thongchai & Niamsup, Piyapong, 2007. "Adaptive control and synchronization of the perturbed Chua’s system," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 75(1), pages 37-55.
    • Handle: RePEc:eee:matcom:v:75:y:2007:i:1:p:37-55
    DOI: 10.1016/j.matcom.2006.08.008
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    Cited by:

    1. Zhang, Yu & Feng, Zhi Guo & Yang, Xinsong & Alsaadi, Fuad E. & Ahmad, Bashir, 2018. "Finite-time stabilization for a class of nonlinear systems via optimal control," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 146(C), pages 14-26.
    2. Pozna, Claudiu & Troester, Fritz & Precup, Radu-Emil & Tar, József K. & Preitl, Stefan, 2009. "On the design of an obstacle avoiding trajectory: Method and simulation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(7), pages 2211-2226.
    3. Lee, S.H. & Park, M.J. & Kwon, O.M. & Sakthivel, R., 2016. "Master-slave synchronization for nonlinear systems via reliable control with gaussian stochastic process," Applied Mathematics and Computation, Elsevier, vol. 290(C), pages 439-459.
    4. Runzi, Luo & Zhengmin, Wei, 2009. "Adaptive function projective synchronization of unified chaotic systems with uncertain parameters," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 1266-1272.
    5. Salarieh, Hassan & Alasty, Aria, 2008. "Adaptive chaos synchronization in Chua's systems with noisy parameters," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(3), pages 233-241.

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