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Stabilization of parameters perturbation chaotic system via adaptive backstepping technique. (English) Zbl 1153.65376
Summary: The work of M.T. Yassen [Chaos Solitons Fractals 27, No. 2, 537–548 (2006; Zbl 1102.37306)] which mainly investigated the stabilization problem for a class of chaotic systems without the parameters perturbation. This paper is concerned with stabilization problem for a class of parameters perturbation chaotic systems via both backstepping design method and adaptive technique. The proposed controllers can guarantee that the parameters perturbation systems will be stabilized at a fixed bounded point. Furthermore, the paper also proposes controllers to stabilize the uncertain chaotic system at equilibrium point with only backstepping design method. Finally, numerical simulations are given to illustrate the effectiveness of the proposed controllers.
65P40Nonlinear stabilities (numerical analysis)