Robust synchronization for a class of fractional-order chaotic and hyperchaotic systems |
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Authors: | Chunlai Li Kalin Su Yaonan Tong Hongmin Li |
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Institution: | 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 issue of robust synchronization for a class of fractional-order chaotic and hyperchaotic systems with model uncertainties and disturbances is studied. A stability criterion for fractional-order nonlinear dynamic systems is introduced, and an adaptive scheme is contrived to accomplish synchronization of fractional-order chaotic and hyperchaotic systems. The controller contains only a single state variable, which is simple and flexible in implementation. Two corresponding numerical examples are given to confirm the theoretical results of the paper. |
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Keywords: | Fractional-order Adaptive scheme Robust synchronization |
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