CONTROLLING DYNAMICAL SYSTEM TO VARIETY OF GOALS

A general method for controlling dynamical system to various desired g oal dynamics is proposed. The convergent condition of the control is s uggested analytically. A technique of introducing ''transient'' goal a llows the control to be switched on at any time, and the system quickl y conforms to the goal closely, almost without transient, resulting in only very small perturbations to the system parameter. The efficiency and superiority of the method is illustrated by simulations on logist ic map and Henon map. This method enables dynamical systems to operate in a much wider variety of situations than that originally designed.