Pragmatical adaptive control for different chaotic systems

A new pragmatical adaptive control method for different chaotic systems is proposed. Traditional chaos control is limited for the same system. This method enlarges the function of chaos control. We can control a chaotic system either to a given simple system or to more complex given chaotic system. Based on a pragmatical theorem of asymptotical stability using the concept of probability, an adaptive control law is derived such that it can be proved strictly that the common null solution of error dynamics and of parameter dynamics is asymptotically stable. Numerical results are studied for two examples. Copyright © 2015 American Scientific Publishers.