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Impulsive Control of Nonautonomous Chaotic Systems using Practical Stabilization

1998; World Scientific; Volume: 08; Issue: 07 Linguagem: Inglês

10.1142/s0218127498001200

1793-6551

Tao Yang, Johan A. K. Suykens, Leon O. Chua,

Mathematical Dynamics and Fractals

In this paper, we use the concept of practical stabilization of impulsive differential equations for controlling nonautonomous chaotic systems. Instead of controlling a chaotic system to a point as in the case of asymptotic stabilization, the aim of practical control is to stabilize a chaotic system into a small region of phase space. This method is useful to control a chaotic system into a prescribed region. We present the theory of controlling a nonautonomous chaotic system into a small region around the origin and illustrate the method on Duffing's oscillator.