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Open AccessArticle

Adaptive Synchronization of Fractional Neural Networks with Unknown Parameters and Time Delays

by Weiyuan Ma 1,2, Changpin Li 3,*, Yujiang Wu 1 and Yongqing Wu 4,5
1
School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, China
2
School of Mathematics and Computer Science, Northwest University for Nationalities, Lanzhou 73000, China
3
Department of Mathematics, Shanghai University, Shanghai 200444, China
4
Basic Teaching Department, Liaoning Technical University, Huludao 125105, China
5
Shanghai Key Laboratory of Intelligent Information Processing, School of Computer Science, Fudan University, Shanghai 200433, China
*
Author to whom correspondence should be addressed.
Entropy 2014, 16(12), 6286-6299; https://doi.org/10.3390/e16126286
Received: 11 October 2014 / Revised: 23 November 2014 / Accepted: 26 November 2014 / Published: 1 December 2014
(This article belongs to the Special Issue Complex Systems and Nonlinear Dynamics)
In this paper, the parameters identification and synchronization problem of fractional-order neural networks with time delays are investigated. Based on some analytical techniques and an adaptive control method, a simple adaptive synchronization controller and parameter update laws are designed to synchronize two uncertain complex networks with time delays. Besides, the system parameters in the uncertain network can be identified in the process of synchronization. To demonstrate the validity of the proposed method, several illustrative examples are presented. View Full-Text
Keywords: fractional neural networks; synchronization; adaptive control; parameters identification; time delays fractional neural networks; synchronization; adaptive control; parameters identification; time delays
MDPI and ACS Style

Ma, W.; Li, C.; Wu, Y.; Wu, Y. Adaptive Synchronization of Fractional Neural Networks with Unknown Parameters and Time Delays. Entropy 2014, 16, 6286-6299.

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