Free-Will Arbitrary Time Adaptive Control for Uncertain Lorenz System

This brief focuses on the issue of free-will arbitrary time chaos suppression and adaptive control for the uncertain Lorenz system. Based on the backstepping method, adaptive control and the Lyapunov stability theorem, an adaptive free-will arbitrary time controller is developed. It is shown that the transformation errors and the system states converge to zero after the given time. Besides, the proposed scheme guarantees that all the closed-loop signals are free-will arbitrary time stable. Finally, a simulation example is provided to verify the effectiveness of the proposed control strategy.