A single adaptive controller with one variable for synchronization of fractional-order chaotic systems |
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| Authors: | Zhang Ruo-Xun Yang Shi-Ping |
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| Affiliation: | a College of Physics Science and Information Engineering, Hebei Normal University, Shijiazhuang 050016, China;b College of Elementary Education, Xingtai University, Xingtai 054001, China |
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| Abstract: | In this paper we investigate the synchronization of a class of three-dimensional fractional-order chaotic systems. Based on Lyapunov stability theory and adaptive control technique, a single adaptive-feedback controller is developed to synchronize a class of fractional-order chaotic systems. The presented controller which only contains a single driving variable is simple both in design and in implementation. Numerical simulation and circuit experimental results for fractional-order chaotic system are provided to illustrate the effectiveness of the proposed scheme. |
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| Keywords: | adaptive control fractional-order chaotic system a single controller |
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