A simple and robust method for controlling chaotic systems

We consider a class of autonomous, continuous time, chaotic dynamical systems, the state equations of which can be represented in so-called Lur'e form. It is shown that the dynamic behaviour of such a system can be influenced in such a way that its state will reproduce any chosen periodic orbit being a solution. This kind of control can be achieved via injection of a single continuous time signal representing the output of the system associated with an unstable periodic orbit embedded in the chaotic attractor. The method is applicable to any chaotic system of the Lur'e type with single nonlinearity.<
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