Synchronization of uncertain chaotic systems via backstepping approach. (English) Zbl 1045.37011

Bowong, Samuel; Moukam Kakmeni, F. M.

Chaos Solitons Fractals 21, No. 4, 999-1011 (2004).

Summary: Adaptive synchronization of two uncertain chaotic systems is presented using adaptive backstepping approach. The master system is any smooth nonlinear chaotic system, while the slave system is a nonlinear chaotic system in the feedback form. Global stability and exponential synchronization between the master and slave systems can be achieved. The proposed approach offers a systematic design procedure for adaptive synchronization of a large class of continuous-time chaotic systems in the chaos research literature. Computer simulations are provided to verify the operation of the designed synchronization scheme.

MSC:

37D45	Strange attractors, chaotic dynamics of systems with hyperbolic behavior
93D15	Stabilization of systems by feedback
37N35	Dynamical systems in control

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