期刊
NONLINEAR DYNAMICS
卷 75, 期 4, 页码 633-641出版社
SPRINGER
DOI: 10.1007/s11071-013-1091-5
关键词
Fractional-order systems; Stability; Stabilization; Nonlinear systems; Linear feedback control
资金
- National Natural Science Funds of China for Distinguished Young Scholar [50925727]
- National Natural Science Foundation of China [61374135]
- National Defense Advanced Research Project [C1120110004, 9140 A27020211DZ5102]
- Chinese Ministry of Education [313018]
- Fundamental Research Funds for the Central Universities [2012HGCX0003]
- Natural Science Foundation of Anhui Province [11040606M12]
- 211 project of Anhui University [KJJQ1102]
The asymptotic stability and stabilization problem of a class of fractional-order nonlinear systems with Caputo derivative are discussed in this paper. By using of Mittag-Leffler function, Laplace transform, and the generalized Gronwall inequality, a new sufficient condition ensuring local asymptotic stability and stabilization of a class of fractional-order nonlinear systems with fractional-order alpha:1 < 2 is proposed. Then a sufficient condition for the global asymptotic stability and stabilization of such system is presented firstly. Finally, two numerical examples are provided to show the validity and feasibility of the proposed method.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据