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Journal of Shanghai University >

2011 , Vol. 17 >Issue 6: 734 - 739

DOI: https://doi.org/10.3969/j.issn.1007-2861.2011.06.009

Mathematics.Physics and Chemistry

Synchronizing Improper Fractional Chen Chaotic System

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  • (1. School of Electrical Engineering, Southwest Jiaotong University, Chengdu 610031, China;
    2. School of Electronics & Information, Nantong University, Nantong 226019, Jiangsu, China)

Received date: 2011-04-14

  Online published: 2011-12-28

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Abstract

This paper proposes a concept of proper and improper fractional systems. A fractional system can be studied individually based on proper and improper fractional systems. A stable theorem of improper fractional system is given. Synchronization of improper fractional systems is studied, and synchronization of an improper fractional Chen chaotic system realized by designing a controller. Numerical simulation shows effectiveness of the method.

Key words：  improper fraction; chaos; stability; synchronization

Cite this article

HU Jian-Bing, XIAO Jian, DIAO Ling-Dong . Synchronizing Improper Fractional Chen Chaotic System[J]. Journal of Shanghai University, 2011 , 17(6) : 734 -739 . DOI: 10.3969/j.issn.1007-2861.2011.06.009

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