Modified adaptive controller for synchronization of incommensurate fractional-order chaotic systems |
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| Authors: | Zhang Ruo-Xun and Yang Shi-Ping |
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| Institution: | College of Physics Science and Information Engineering, Hebei Normal University, Shijiazhuang 050016, China;College of Elementary Education, Xingtai University, Xingtai 054001, China;College of Physics Science and Information Engineering, Hebei Normal University, Shijiazhuang 050016, China |
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| Abstract: | We investigate the synchronization of a class of incommensurate fractional-order chaotic systems, and propose a modified adaptive controller for fractional-order chaos synchronization based on the Lyapunov stability theory, the fractional order differential inequality, and the adaptive strategy. This synchronization approach is simple, universal, and theoretically rigorous. It enables the synchronization of0 fractional-order chaotic systems to be achieved in a systematic way. The simulation results for the fractional-order Qi chaotic system and the four-wing hyperchaotic system are provided to illustrate the effectiveness of the proposed scheme. |
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| Keywords: | synchronization modified adaptive controller incommensurate fractional-order chaotic system |
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