Practical Uniform Stability of Nonlinear Differential Delay Equations

被引：40

作者：

Ben Hamed, Bassem ^{[1
]}

Ellouze, Imen ^{[2
]}

Hammami, Mohamed Ali ^{[2
]}

机构：

[1] Higher Inst Appl Sci & Technol Gabes, Dept Math, Gabes 6029, Tunisia

[2] Fac Sci Sfax, Dept Math, Sfax 3000, Tunisia

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2011年 / 8卷 / 04期

关键词：

Nonlinear differential delay equations; Global uniform practical stability; Global uniform exponential stability; EXPONENTIAL STABILITY; INDEPENDENT STABILITY; ABSOLUTE STABILITY; SYSTEMS; STABILIZATION; STATE;

D O I：

10.1007/s00009-010-0083-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the problem of global uniform practical exponential stability of a general nonlinear non autonomous differential delay equations. Using the global uniform practical exponential stability of the corresponding differential equation without delay, we show that the differential delay equation will remain globally uniformly practically exponentially stable provided that the time-lag is small enough. Finally, some illustrative examples are given to demonstrate the validity of the results.

引用

页码：603 / 616

页数：14

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