Abstract
In the last two years, we have developed some new ideas and techniques for the control of chaotic nonlinear systems using conventional feedback controllers design methods, for both discrete-time and continuous-time systems [1-4], where the target position is either an (unstable) equilibrium point or an (unstable) limit cycle of the chaotic system. In this paper, we further provide a rigorous mathematical theory to support these new ideas and techniques, for a particular yet representative case: the well-known continuous-time chaotic Duffing system.
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