Impulsive differential systems: The problem of stability and practical stability

被引：9
|
作者：
Borysenko, S. D. [2 ]
Toscano, Speranza [1 ]
机构：
[1] Univ Naples Federico II, Fac Engn, I-80125 Naples, Italy
[2] Natl Tech Univ Ukraine KPI, Dept Differential Equat, UA-03056 Kiev, Ukraine
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 12期
关键词：
Impulsive system; Estimates; Stability; Practical stability; Attraction; BELLMAN-BIHARI TYPE; INTEGRAL-INEQUALITIES; MOTION; MODEL;
D O I：
10.1016/j.na.2009.02.084
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This article is devoted to the analysis properties of the solutions of nonlinear impulsive differential systems with perturbations on some hypersurfaces {t(i)(x)}. The conditions of boundedness, practical stability (uniformly, attractive), stability (uniformly, asymptotical), attraction of the solutions perturbed system by using linear approximation are obtained. (C) 2009 Published by Elsevier Ltd
引用
收藏
页码：E1843 / E1849
页数：7
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