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Entropy 2015, 17(2), 692-709; doi:10.3390/e17020692

Parameters Estimation of Uncertain Fractional-Order Chaotic Systems via a Modified Artificial Bee Colony Algorithm

1
School of Science, Beijing Jiaotong University, Beijing 100044, China
2
School of Information, Beijing Wuzi University, Beijing 101149, China
*
Author to whom correspondence should be addressed.
Received: 25 December 2014 / Revised: 23 January 2015 / Accepted: 27 January 2015 / Published: 4 February 2015
(This article belongs to the Special Issue Recent Advances in Chaos Theory and Complex Networks)
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Abstract

Parameter estimation for fractional-order chaotic systems has been an interesting and important issue in theory and various fields of application. In this paper, fractional orders, as well as systematic parameters of fractional-order chaotic systems are considered by treating fractional orders as additional parameters. The parameter estimation is transformed into a multidimensional optimization problem, and an effective modified artificial bee colony algorithm is proposed to solve this problem. Numerical simulations are conducted on two typical fractional-order chaotic systems to show the effectiveness of the proposed scheme. View Full-Text
Keywords: parameter estimation; uncertain fractional-order chaotic systems; modified artificial bee colony algorithm parameter estimation; uncertain fractional-order chaotic systems; modified artificial bee colony algorithm
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Hu, W.; Yu, Y.; Wang, S. Parameters Estimation of Uncertain Fractional-Order Chaotic Systems via a Modified Artificial Bee Colony Algorithm. Entropy 2015, 17, 692-709.

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