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International Journal of Differential Equations
Volume 2011 (2011), Article ID 635165, 12 pages
Asymptotical Stability of Nonlinear Fractional Differential System with Caputo Derivative
1Department of Mathematics, Shanghai University, Shanghai 200444, China
2School of Mathematics and Computational Science, China University of Petroleum (East China), Qingdao 266555, China
3Electrical and Computer Engineering Department, Utah State University, Logan, UT 84322-4160, USA
Received 18 April 2011; Accepted 14 June 2011
Academic Editor: Fawang Liu
Copyright © 2011 Fengrong Zhang 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.
Citations to this Article [4 citations]
The following is the list of published articles that have cited the current article.
- A. G. Butkovskii, S. S. Postnov, and E. A. Postnova, “Fractional integro-differential calculus and its control-theoretical applications. II. Fractional dynamic systems: Modeling and hardware implementation,” Automation and Remote Control, vol. 74, no. 5, pp. 725–749, 2013.
- Yanfen Lu, Ranchao Wu, and Zhiquan Qin, “Asymptotic stability of nonlinear fractional neutral singular systems,” Journal of Applied Mathematics and Computing, 2013.
- Tore Bakka, “H-infinity static output-feedback control design with constrained informati on for offshore wind turbine system,” Journal Of The Franklin Institute-Engineering And Applied Mathematics, vol. 350, no. 8, pp. 2244–2260, 2013.
- Margarita Rivero, Sergei V. Rogosin, José A. Tenreiro Machado, and Juan J. Trujillo, “Stability of Fractional Order Systems,” Mathematical Problems in Engineering, vol. 2013, pp. 1–14, 2013.