Investigations of the properties motion for essential nonlinear systems perturbed by impulses on some hypersurfaces

被引：15

作者：

Borysenko, SD

Iovane, G

Giordano, P

机构：

[1] Univ Salerno, Dept Engn Informat & Appl Math, I-84084 Fisciano, Salerno, Italy

[2] Natl Tech Univ Ukraine, Dept Differential Equat, UA-03056 Kiev, Ukraine

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2005年 / 62卷 / 02期

关键词：

impulse perturbations; stability; practical stability;

D O I：

10.1016/j.na.2005.03.031

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work sufficiently conditions, boundedness, stability, asymptotical stability, exponential stability, attraction, practical stability, nondisturbed motion systems with impulse perturbations on some hypersurfaces are obtained. We formulate the conditions which guarantee that no beating motion of hypersurfaces will be present. Estimates of Cauchy matrix system of variation for approximated system are obtained for different kinds of right side shorted system. These estimates are used as one-parametric scale increasing functions; moreover we also consider two-parametric scale, such as proposed by Demidovich. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：345 / 363

页数：19