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
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页码：E1843 / E1849
页数：7
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