Control of continuous chaotic systems based on improving correlation

In this paper, we further extend these ideas and techniques developed previously by the authors for controlling discrete-time chaotic systems by using the chaotic control method based on improving correlation to the continuous-time chaotic systems. We will study how the chaotic trajectory of a continuous-time nonlinear systems is controlled to converge to its equilibrium points, and, more significantly, to its multi-periodic orbits. Mathematical theory analysis is carried out and some computer simulation results are provided to support such controllability of the Chua's circuit system and the four-order Chua's circuit.