Stabilization of chaotic system based on Lyapunov method

Using the Lyapunov stability theory, design two new control laws, which can stabilize the equilibria of a special chaotic system-Lorenz system rapidly, at the same time, this control law can effectively restrain the chattering, which means the dynamic performance of the system is superior than previous results. And a strict mathematical proof for the conclusion is given in this paper. Financially, the simulation results show the superiority of the method in this article.