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Robust synchronization for a class of fractional-order chaotic and hyperchaotic systems
Authors:Chunlai Li  Kalin Su  Yaonan Tong  Hongmin Li
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
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.
Keywords:Fractional-order  Adaptive scheme  Robust synchronization
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