1. A control system comprising: a stabilizing algorithm means for stabilizing a target system in a chaotic state into a periodic state; an accelerating algorithm means for directing the target system rapidly to a region on a chaotic attractor; and a predicting means for predicting a following variation of data originating from the target system based on a previous observation of corresponding data, wherein a determination of a current state of the target system is determined based on observation of data originating from the target system, thereafter said stabilizing algorithm means is employed in a case where the stabilizing algorithm means is considered to be effective taking a result of the determination into account, otherwise prediction of following states of the target system are predicted by said predicting means, and said accelerating algorithm means is operated using results of the prediction to make a state of the target system a periodic state.