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A simple observer design of the generalized Lorenz chaotic systems. (English) Zbl 1235.34138

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:

34C28 Complex behavior and chaotic systems of ordinary differential equations
34D23 Global stability of solutions to ordinary differential equations
34H10 Chaos control for problems involving ordinary differential equations
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