Synchronization between a novel class of fractional-order and integer-order chaotic systems via a sliding mode controller |
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Authors: | Chen Di-Yi Zhang Run-Fan Ma Xiao-Yi and Wang Juan |
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Institution: | Department of Electrical Engineering, College of Water Resources and Architectural Engineering, Northwest Agriculture &Forestry University, Yangling 712100, China |
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Abstract: | In order to figure out the dynamical behaviour of a fractional-order chaotic system and its relation to an integerorder chaotic system,in this paper we investigate the synchronization between a class of fractional-order chaotic systems and integer-order chaotic systems via sliding mode control method.Stability analysis is performed for the proposed method based on stability theorems in the fractional calculus.Moreover,three typical examples are carried out to show that the synchronization between fractional-order chaotic systems and integer-orders chaotic systems can be achieved. Our theoretical findings are supported by numerical simulation results.Finally,results from numerical computations and theoretical analysis are demonstrated to be a perfect bridge between fractional-order chaotic systems and integer-order chaotic systems. |
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Keywords: | synchronization fractional-order system integer-order chaotic system sliding mode |
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