Stabilization of fractional-order chaotic system via a single state adaptive-feedback controller |
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| Authors: | Ruoxun Zhang Shiping Yang |
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| Institution: | 1. College of Physics Science and Information Engineering, Hebei Normal University, Shijiazhuang, 050016, China
2. College of Education, Xingtai University, Xingtai, 054001, China
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| Abstract: | This letter investigates the stabilization of three-dimensional fractional-order chaotic systems, and proposes a single state adaptive-feedback controller for fractional-order chaos control based on Lyapunov stability theory, fractional order differential inequality, and adaptive control theory. The present controller which only contains a single state variable is simple both in design and implementation. Simulation results for several fractional-order chaotic systems are provided to illustrate the effectiveness of the proposed scheme. |
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