Non-linear integral inequalities and applications to asymptotic stability

被引：18
|
作者：
Hammi, Mekki [1 ]
Hammami, Mohamed Ali [1 ]
机构：
[1] Univ Sfax, Fac Sci Sfax, Dept Math, Sfax 3000, Tunisia
来源：
IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION | 2015年 / 32卷 / 04期
关键词：
non-linear inequality; perturbed systems; stability; EXPONENTIAL STABILIZATION; PERTURBED SYSTEMS; ROBUST STABILITY; DELAY SYSTEMS;
D O I：
10.1093/imamci/dnu016
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, some new non-linear integral inequalities are established. These inequalities can be used in the study of stability problems of perturbed dynamic systems. As applications, based on these new inequalities, some sufficient conditions for global uniform asymptotic stability are obtained. A numerical example is presented to illustrate the applicability of the main result.
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页码：717 / 735
页数：19
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