Stability criteria of impulsive differential systems

被引：21

作者：

Soliman, AA ^{[1
]}

机构：

[1] Benha Univ, Fac Sci, Dept Math, Banha 13518, Egypt

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2003年 / 134卷 / 2-3期

关键词：

eventual stability; uniform eventual stability; asymptotic eventual stability; uniform asymptotic eventual stability; impulsive systems;

D O I：

10.1016/S0096-3003(01)00293-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The notion of eventual stability has been recently discussed. We extend this notion to impulsive systems of differential equations. Our technique depends on Liapunov's direct method. (C) 2002 Elsevier Science Inc. All rights reserved.

引用

页码：445 / 457

页数：13

共 7 条

[1]

[Anonymous], DIFFERENTIAL INTEGRA

[2]

BAINOV DD, 1989, STABILITY THEORY APP

[3]

BAINOV DD, 1987, B I MATH ACAD SCI, V15, P251

[4] ON THE ASYMPTOTIC STABILITY OF SYSTEMS WITH IMPULSES BY THE DIRECT METHOD OF LYAPUNOV [J].

KULEV, GK ;

BAINOV, DD .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1989, 140 (02) :324-340

[5]

LAKSHMIKANTHAM V, 1977, J NONLINEAR ANAL, V1, P215

[6]

Lakshmikantham V., 1989, Series In Modern Applied Mathematics, V6

[7]

Perslyuk N. A., 1987, DIFFERENTIAL EQUATIO

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