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Discrete Dynamics in Nature and Society - Volume 2014 2014, Article ID 724270, 14 pages -

Research ArticleSchool of Science, Sichuan University of Science and Engineering, Zigong 643000, China

Received 23 July 2014; Revised 4 September 2014; Accepted 4 September 2014; Published 16 November 2014

Academic Editor: Zhengrong Xiang

Copyright © 2014 Tianzeng Li and Yu Wang. 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.


In this letter stability analysis of fractional order nonlinear systems is studied. Some new sufficient conditions on the local globally asymptotic stability for a class of fractional order nonlinear systems with order are proposed by using properties of Mittag-Leffler function and the Gronwall inequality. And the corresponding stabilization criteria are also given. The numerical simulations of two systems with order and two systems with order illustrate the effectiveness and universality of the proposed approach.

Author: Tianzeng Li and Yu Wang



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