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Zbl 1047.37502
Liao, Teh-Lu
Adaptive synchronization of two Lorenz systems. (English)
[J] Chaos Solitons Fractals 9, No. 9, 1555-1561 (1998). ISSN 0960-0779

Summary: This paper treats the synchronization problem of two Lorenz systems in the presence of unknown system parameters. Based on the Lyapunov stability theory, an adaptive control law is derived such that the two Lorenz systems are to be synchronized. A robust adaptive control law is also presented to guarantee the robustness of the synchronization against a bounded disturbance. Simulation results are given to demonstrate the effectiveness and robustness of the proposed control schemes.

MSC 2000:: *37D45 Strange attractors, chaotic dynamics
34C28 Other types of "recurrent" solutions of ODE
93D21 Adaptive and robust stabilization

Keywords: Chaos theory; Adaptive control systems; Synchronization; Lyapunov methods; System stability; Robustness; Control system analysis; Computer simulation; Adaptive synchronization; Lorentz system; Synchronization chaos; Lyapunov stability theory

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