A practical synchronization approach for fractional-order chaotic systems |
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| Authors: | Ping Zhou Peng Zhu |
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| Institution: | 1.Key Laboratory of Network Control and Intelligent Instrument of Ministry of Education,Chongqing University of Posts and Telecommunications,Chongqing,China;2.Center of System Theory and Its Applications,Chongqing University of Posts and Telecommunications,Chongqing,China |
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| Abstract: | A practical synchronization approach is proposed for a class of fractional-order chaotic systems to realize perfect \(\delta \)-synchronization, and the nonlinear functions in the fractional-order chaotic systems are all polynomials. The \(\delta \)-synchronization scheme in this paper means that the origin in synchronization error system is stable. The reliability of \(\delta \)-synchronization has been confirmed on a class of fractional-order chaotic systems with detailed theoretical proof and discussion. Furthermore, the \(\delta \)-synchronization scheme for the fractional-order Lorenz chaotic system and the fractional-order Chua circuit is presented to demonstrate the effectiveness of the proposed method. |
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