UNIFORM ASYMPTOTIC STABILITY IN IMPULSIVE PERTURBED SYSTEMS OF DIFFERENTIAL-EQUATIONS

被引：3
|
作者：
KULEV, GK [1 ]
机构：
[1] PAISIJ HILENDARSKI UNIV PLOVDIV,DEPT MATH,BU-4000 PLOVDIV,BULGARIA
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1992年 / 41卷 / 1-2期
关键词：
IMPULSIVE SYSTEM OF DIFFERENTIAL EQUATIONS; UNIFORM ASYMPTOTIC STABILITY; LYAPUNOV FUNCTIONS;
D O I：
10.1016/0377-0427(92)90237-R
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present paper the uniform asymptotic stability of the zero solution of perturbed impulsive systems of differential equations with unfixed moments of impulse action is investigated. The direct method of Lyapunov is used, but the auxiliary functions possess first kind discontinuities on the impulsive hypersurfaces.
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页码：49 / 55
页数：7
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