Impulsive control of nonautonomous chaotic systems using practical stabilization

In this paper, we use the concept of practical stabilization of impulsive d ifferential equations for controlling nonautonomous chaotic systems. Instea d of controlling a chaotic system to a point as in the case of asymptotic s tabilization, 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 cha otic system into a prescribed region. We present the theory of controlling a nonautonomous chaotic system into a small region around the origin and il lustrate the method on Duffing's oscillator.