Adaptive control and synchronization of a fractional-order chaotic system |
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| Authors: | CHUNLAI LI YAONAN TONG |
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| Affiliation: | 1. College of Physics and Electronics, Hunan Institute of Science and Technology, Yueyang, 414006, China
2. School of Information and Communication Engineering, Hunan Institute of Science and Technology, Yueyang, 414006, China
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| Abstract: | In this paper, the chaotic dynamics of a three-dimensional fractional-order chaotic system is investigated. The lowest order for exhibiting chaos in the fractional-order system is obtained. Adaptive schemes are proposed for control and synchronization of the fractional-order chaotic system based on the stability theory of fractional-order dynamic systems. The presented schemes, which contain only a single-state variable, are simple and flexible. Numerical simulations are used to demonstrate the feasibility of the presented methods. |
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