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Global asymptotical synchronization of a class of chaotic Lurie systems. (Global asymptotical synchronization of a class of chaotic Lur’e systems.) (Chinese. English summary) Zbl 1224.93094

Summary: By using Lyapunov’s stability theory, the global synchronous control of a class of chaotic Lur’e systems is studied. The invariant set and the nonlinear link’s local Lipschitz condition of a class of Lur’e systesm are given. Then, the global asymptotic synchronous control of the driving system and the responsive system are brought forward. Its feasibility is shown by simulation, which suggests the rapidity of the convergence of the error system.

MSC:

93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
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