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Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA

Email: dr.volchenkov@gmail.com

Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania

Email: dumitru.baleanu@gmail.com


Adaptive Synchronization of Delayed Chen Chaotic System

Discontinuity, Nonlinearity, and Complexity 3(4) (2014) 367--378 | DOI:10.5890/DNC.2014.12.001

Tao Fan$^{1}$,$^{2}$ , Chang-Zhong Chen$^{1}$,$^{2}$, Xiao-Hong Ren$^{1}$,$^{2}$, Ping He$^{3}$

$^{1}$ School of Automation and Electronic Information, Sichuan University of Science & Engineering, Zigong, Sichuan, 643000, China

$^{2}$ Artificial Intelligence Key Laboratory of Sichuan Province, Sichuan University of Science & Engineering, Zigong, Sichuan, 643000, China

$^{3}$ Department of Electromechanical Engineering, Faculty of Science and Technology, E11, University of Macau, Avenida da Universidade, Taipa, 999078, Macao, China

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Abstract

In this paper, we focus on the adaptive synchronization of delayed Chen chaotic systems with unknown parameters. An adaptive synchronization controller and the adaptive updating law are designed. At last, the numerical simulation is shown to prove the effectiveness of the proposed synchronization controller schemes.

Acknowledgments

This work was jointly supported by the Breeding Project Foundation of Sichuan University of Science & Engineering (Grant No. 2014PY14), the Research Foundation of Department of Education of Sichuan Province (Grant Nos. 14ZB0210 and 14ZA0203), the Open Foundation of Key Laboratory of Higher Education of Sichuan Province for Enterprise Informatization and Internet of Things (Grant Nos. 2014WYJ01 and 2013WYY06), the Open Foundation of Artificial Intelligence Key Laboratory of Sichuan Province (Grant Nos. 2014RYY02, 2013RYJ01, and 2012RYJ01), and the Science Foundation of Sichuan University of Science & Engineering (Grant No. 2012KY19).

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