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Synthesis for robust synchronization of chaotic systems under output feedback control with multiple random delays. (English) Zbl 1142.93430

Summary: Synchronization under output feedback control with multiple random time delays is studied, using the paradigm in nonlinear physics-Chua’s circuit. Compared with other synchronization control methods, output feedback control with multiple random delay is superior for a realistic synchronization application to secure communications. Sufficient condition for global stability of delay-dependent synchronization is established based on the LMI technique. Numerical simulations fully support the analytical approach, in spite of the random delays.

MSC:

93D21 Adaptive or robust stabilization
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
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