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Entropy 2018, 20(2), 124; https://doi.org/10.3390/e20020124

Adaptive Synchronization of Fractional-Order Complex-Valued Neural Networks with Discrete and Distributed Delays

1
,
1,2,* , 3
and
2,*
1
College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China
2
College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao 266590, China
3
School of Electrical and Automation Engineering, Nanjing Normal University, Nanjing 210023, China
*
Authors to whom correspondence should be addressed.
Received: 25 January 2018 / Revised: 10 February 2018 / Accepted: 11 February 2018 / Published: 13 February 2018
(This article belongs to the Special Issue Research Frontier in Chaos Theory and Complex Networks)
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Abstract

In this paper, the synchronization problem of fractional-order complex-valued neural networks with discrete and distributed delays is investigated. Based on the adaptive control and Lyapunov function theory, some sufficient conditions are derived to ensure the states of two fractional-order complex-valued neural networks with discrete and distributed delays achieve complete synchronization rapidly. Finally, numerical simulations are given to illustrate the effectiveness and feasibility of the theoretical results. View Full-Text
Keywords: complex-valued information; fractional-order; neural networks; delay; synchronization complex-valued information; fractional-order; neural networks; delay; synchronization
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Li, L.; Wang, Z.; Lu, J.; Li, Y. Adaptive Synchronization of Fractional-Order Complex-Valued Neural Networks with Discrete and Distributed Delays. Entropy 2018, 20, 124.

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