Synchronization of uncertain fractional-order chaotic systems via a novel adaptive controller |
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| Institution: | 1. Department of Electrical Engineering, University of Chile, Av. Tupper 2007, Santiago de Chile, Chile;2. Advanced Mining Technology Center, Av. Tupper 2007, Santiago de Chile, Chile;1. State Key Laboratory for Strength and Vibration, Xi''an Jiaotong University, Xi''an 710049, China;2. School of Mathematics and Statistics, Tianshui Normal University, Tianshui 741001, China |
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| Abstract: | This paper deals with the drive-response synchronization scheme for uncertain fractional-order chaotic systems. Some novel sufficient conditions for chaos synchronization of fractional-order chaotic systems with model uncertainties and external disturbances are derived by using the fractional-order extension of the Lyapunov stability theorem. The designed synchronization are new, simple and yet easily realized experimentally compared with those where complex control functions are used. Simulation results are given for several fractional-order chaotic examples to illustrate the effectiveness of the proposed scheme. |
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