New integral inequalities and asymptotic stability of fractional-order systems with unbounded time delay

被引：48
|
作者：
He, Bin-Bin [1 ]
Zhou, Hua-Cheng [2 ]
Kou, Chun-Hai [3 ]
Chen, YangQuan [4 ]
机构：
[1] Donghua Univ, Coll Informat Sci & Technol, Shanghai 201620, Peoples R China
[2] Cent South Univ, Sch Math & Stat, Changsha 410075, Hunan, Peoples R China
[3] Donghua Univ, Dept Appl Math, Shanghai 201620, Peoples R China
[4] Univ Calif, Mechatron Embedded Syst & Automat Lab, Merced, CA 95343 USA
来源：
NONLINEAR DYNAMICS | 2018年 / 94卷 / 02期
关键词：
Asymptotic stability; Integral inequality; Fractional Halanay inequality; Unbounded time delay; STABILIZATION;
D O I：
10.1007/s11071-018-4439-z
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
The stability analysis of fractional-order systems with unbounded delay remains an open problem. In this paper, we firstly explore two new integral inequalities. Using these two integral inequalities obtained, the Halanay inequality with unbounded delay is extended to Caputo fractional-order case and Riemann-Liouville fractional-order case. Finally, several examples are presented to illustrate the effectiveness and applicability of the fractional Halanay inequalities in obtaining the asymptotic stability conditions of fractional-order systems with unbounded delay.
引用
收藏
页码：1523 / 1534
页数：12
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