Equivalence of Synchronization and Control of Chaotic Systems

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Abstract
It is shown that “perfect” control of a system along a desired trajectory is the control analog of the different techniques of synchronization of chaos. Analysis of this control problem leads to a general framework for synchronization of chaotic systems. Numerical examples are presented to illustrate the connection between synchronization and perfect control. Modifications of the control scheme are carried out to make the control technique useful in practical situations.