Chaotic Control of Several Kinds of One Equilibrium Chaotic Systems with Linear Feedback

In this paper, a class of three dimensional nonlinear chaotic dynamic systems, which have only one equilibrium position, are studied. The least conservative linear feedback control is introduced to make the systems globally exponentially stable. For four kinds of nonlinear chaotic systems, Sport D, I, J, L presented in reference [1], since the correlation of three equations in each system are good enough, it is relatively easy to realize linear feedback to achieve the aim of controlling chaos. Simulations are proposed to verify the good performance of the controlled systems with the given linear controllers.