Stabilization of the Fractional-Order Chua Chaotic Circuit via the Caputo Derivative of a Single InputReport as inadecuate




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Discrete Dynamics in Nature and Society - Volume 2016 2016, Article ID 4129756, 5 pages -

Research Article

Center of System Theory and Its Applications, Chongqing University of Posts and Telecommunications, Chongqing 400065, China

Key Laboratory of Network Control and Intelligent Instrument of Ministry of Education, Chongqing University of Posts and Telecommunications, Chongqing 400065, China

Received 8 September 2015; Accepted 8 November 2015

Academic Editor: Chris Goodrich

Copyright © 2016 Chunde Yang et al. 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.

Abstract

A modified fractional-order Chua chaotic circuit is proposed in this paper, and the chaotic attractor is obtained for . Based on the Mittag-Leffler function in two parameters and Gronwall’s Lemma, two control schemes are proposed to stabilize the modified fractional-order Chua chaotic system via the Caputo derivative of a single input. The numerical simulation shows the validity and feasibility of the control scheme.





Author: Chunde Yang, Hao Cai, and Ping Zhou

Source: https://www.hindawi.com/



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