Razumikhin-type stability theorems for functional fractional-order differential systems and applications

被引：122
作者：
Chen, Boshan [1 ]
Chen, Jiejie [2 ]
机构：
[1] Hubei Normal Univ, Coll Math & Stat, Huangshi 435002, Hubei, Peoples R China
[2] Huazhong Univ Sci & Technol, Sch Automat, Educ Minist China, Key Lab Image Proc & Intelligent Control, Wuhan 430074, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 254卷
关键词：
Functional fractional-order differential system; Uniform stability; Global uniform stability; Razumikhin-type theorem; EQUATIONS; DELAY; MODELS; FLUID;
D O I：
10.1016/j.amc.2014.12.010
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we studied the stability of functional fractional-order differential systems using a Lyapunov function and develop Razumikhin-type uniform stability and global uniform asymptotic stability theorems for functional fractional-order differential systems, which involve Riemann-Liouville and Caputo derivatives respectively. Two examples are given as application of our theorems. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码：63 / 69
页数：7
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