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Zbl 1235.34138
Sun, Yeong-Jeu
A simple observer design of the generalized Lorenz chaotic systems. (English)
[J] Phys. Lett., A 374, No. 7, 933-937 (2010). ISSN 0375-9601

Summary: In this Letter, the generalized Lorenz chaotic system is considered and the state observation problem of such a system is investigated. Based on the time-domain approach, a simple observer for the generalized Lorenz chaotic system is developed to guarantee the global exponential stability of the resulting error system. Moreover, the guaranteed exponential convergence rate can be correctly estimated. Finally, a numerical example is given to show the effectiveness of the obtained result.
MSC 2000:
*34C28 Other types of "recurrent" solutions of ODE
34D23 Global stability
34H10

Keywords: chaotic system; state observer; generalized Lorenz chaotic systems

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