Controlling Dynamical System to Variety of Goals

A general method for controlling dynamical system to various desired goal dynamics is proposed. The convergent condition of the coptrol is suggested analytically.A technique of introducing "traasient" goal allows the control to be switched on at any time, and the system quickly conforms to the goal closely,almost without transient, resulting in only very small perturbations to the system parameter. The effciency and superiority of the method is illusrated by simulations on logistic map and Henon map. This method enables dynamical system to operate in a much wider variety of situations than that originally desgned.