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Chaos synchronization and duration time of a class of uncertain chaotic systems. (English) Zbl 1161.37317

Summary: The problem of chaos synchronization from a control theoretic point of view. The main idea is to construct an augmented dynamical system from the synchronization error system, which is itself uncertain. A new dynamic output feedback is applied to perform synchronization in spite of master/slave mismatches. In this way, the nonidentical chaotic synchronization can be attained. The advantage of this method over the existing results is that the feedback controller has a predictable synchronization delay. The synchronization time is explicitly computed. Computer simulations are provided to verify the operation of the designed synchronization algorithm.

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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