The optimal control of Chen chaotic dynamical system

摘要

This paper is devoted to study the problem of the optimal control for the equilibrium point of a new chaotic system introduced by Chen in a simple three-dimensional autonomous system, which resembles some familiar features from both the Lorenz and Rossler systems. The stability of the equilibrium points is studied. The conditions of the asymptotic stability of the equilibrium point of this system are used to obtain the optimal control functions. The general solution of the dynamical system of the perturbed state is obtained as a function of time.