Mathematical Problems in Engineering
Volume 2014, Article ID 428143, 6 pages
http://dx.doi.org/10.1155/2014/428143
Robust Stability Analysis of Nonlinear Fractional-Order Time-Variant Systems
School of Electric Power, South China University of Technology, Guangzhou, Guangdong 510641, China
Received 10 April 2014; Accepted 30 May 2014; Published 30 June 2014
Academic Editor: Ligang Wu
Copyright © 2014 Chen Caixue and Xie Yunxiang. 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
This paper presents a stability theorem for a class of nonlinear fractional-order time-variant systems with fractional order by using the Gronwall-Bellman lemma. Based on this theorem, a sufficient condition for designing a state feedback controller to stabilize such fractional-order systems is also obtained. Finally, a numerical example demonstrates the validity of this approach.