New Result on Finite-Time Stability of Fractional-Order Nonlinear Delayed Systems

被引：27
作者：
Chen, Liping [1 ]
Pan, Wei [1 ]
Wu, Ranchao [2 ]
He, Yigang [1 ]
机构：
[1] Hefei Univ Technol, Sch Elect Engn & Automat, Hefei 230009, Peoples R China
[2] Anhui Univ, Sch Math, Hefei 230039, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS | 2015年 / 10卷 / 06期
关键词：
MITTAG-LEFFLER STABILITY; NEURAL-NETWORKS; DIFFERENTIAL-EQUATIONS;
D O I：
10.1115/1.4029784
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
Since Lyapunov method has not been well developed for fractional-order systems, stability of fractional-order nonlinear delayed systems remains a formidable problem. In this letter, finite-time stability of a class of fractional-order nonlinear delayed systems with order between 0 and 1 is addressed. By using the technique of inequalities, a new and simple delay-independent sufficient condition guaranteeing stability of fractional-order nonlinear delayed system over the finite time interval is obtained. Numerical examples are presented to demonstrate the validity and feasibility of the obtained results.
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页数：5
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