Adaptive synchronization of a class of fractional-order complex-valued chaotic neural network with time-delay |
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Institution: | 1.College of Physics, Hebei Normal University, Shijiazhuang 050024, China;2.Department of Computer Science, North China Electric Power University, Baoding 071003, China;3.College of Primary Education, Xingtai University, Xingtai 054001, China |
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Abstract: | This paper is concerned with the adaptive synchronization of fractional-order complex-valued chaotic neural networks (FOCVCNNs) with time-delay. The chaotic behaviors of a class of fractional-order complex-valued neural network are investigated. Meanwhile, based on the complex-valued inequalities of fractional-order derivatives and the stability theory of fractional-order complex-valued systems, a new adaptive controller and new complex-valued update laws are proposed to construct a synchronization control model for fractional-order complex-valued chaotic neural networks. Finally, the numerical simulation results are presented to illustrate the effectiveness of the developed synchronization scheme. |
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Keywords: | adaptive synchronization fractional calculus complex-valued chaotic neural networks time-delay |
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