Abstract

A general response system control method for synchronization ofcontinuous scalar chaotic signal is presented. The proposed canonicalgeneral response system can cover most of the well-known chaoticsystems. Conversely, each of these chaotic systems can also be used toconstruct the general response system. Furthermore, a novel controllerof the proposed response system is designed based on backsteppingtechnique, with which the output of the general response system and thegiven continuous chaotic signal can synchronize perfectly. Twonumerical examples are given to illustrate the effectiveness of theproposed control method.

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