Adaptive synchronization of fractional-order chaotic systems via a single driving variable |
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| Authors: | Zhang Ruoxun Yang Shiping |
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| Institution: | (1) Department of Applied Mathematics, Northwestern Polytechnical University, Xi’an, 710072, People’s Republic of China; |
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| Abstract: | This letter investigates the synchronization of a class of three-dimensional fractional-order chaotic systems. Based on sliding
mode variable structure control theory and adaptive control technique, a single-state adaptive-feedback controller containing
a novel fractional integral sliding surface is developed to synchronize a class of fractional-order chaotic systems. The present
controller, which only contains a single driving variable, is simple both in design and implementation. Simulation results
for three fractional-order chaotic systems are provided to illustrate the effectiveness of the proposed scheme. |
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