Asymptotical stability of Riemann-Liouville fractional neutral systems

被引：33
|
作者：
Liu, Song [1 ]
Wu, Xiang [1 ]
Zhang, Yan-Jie [1 ]
Yang, Ran [1 ]
机构：
[1] Anhui Univ, Sch Math Sci, Hefei 230601, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2017年 / 69卷
关键词：
Asymptotical stability; Fractional neutral systems; Riemann-Liouville derivative; Lyapunov direct method; Linear matrix inequality; FINITE-TIME STABILITY; LYAPUNOV FUNCTIONS;
D O I：
10.1016/j.aml.2017.02.016
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the asymptotical stability of Riemann-Liouville fractional neutral systems is investigated. Applying Lyapunov direct method, we present new sufficient conditions on asymptotical stability in terms of linear matrix inequality (LMI) which can be easily solved. The advantage of our employed method is that one may directly calculate integer-order derivatives of the Lyapunov functions. Finally, two simple examples are given to show that the proposed method is computationally flexible and efficient. (C) 2017 Elsevier Ltd. All rights reserved.
引用
收藏
页码：168 / 173
页数：6
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