Improving the efficiency of time-delayed feedback control of chaos through linear invertible transform

Abstract

A scheme,which can be used to effectively improve the quality of time-delayed feedback control of chaos,was proposed based on linear invertible transform.Through transforming parts of state variables of the system in the corresponding sub-space,we can successfully control chaos by a single time-delayed feedback signal instead of multi-signals in the original system before the transformation.Therefore,the conditions for stabilizing the system can be found theoretically.The numerical simulation results show that this chaos control method is commendably effective and feasible.