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Master-slave synchronization of Lur’e systems. (English) Zbl 0925.93342

Summary: We present a sufficient condition for master-slave synchronization of Lur’e systems. The scheme makes use of linear full static state feedback. The criterion is based on a Lur’e-Postnikov Lyapunov function for global asymptotic stability of the error system. The condition is basically the same as the one for global asymptotic stability of the Lur’e system, controlled with linear state feedback. The design of the feedback matrix is done by solving a constrained nonlinear optimization problem. The method is illustrated on the synchronization of Chua’s circuit.

MSC:

93C10 Nonlinear systems in control theory
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