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A single adaptive controller with one variable for synchronization of fractional-order chaotic systems
Authors:Zhang Ruo-Xun  Yang Shi-Ping
Institution:a College of Physics Science and Information Engineering, Hebei Normal University, Shijiazhuang 050016, China;b College of Elementary Education, Xingtai University, Xingtai 054001, China
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.
Keywords:adaptive control  fractional-order chaotic system  a single controller
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