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

页码：E1843 / E1849

页数：7

共 30 条

[1]

Bainov Drumi, 1992, East European Series)

[2]

Borysenko D. S., 2004, P 10 INT KRAVCH C KY, P323

[3]

BORYSENKO DS, 2005, VISN KIIV U, P63

[4] Investigations of the properties motion for essential nonlinear systems perturbed by impulses on some hypersurfaces [J].

Borysenko, SD ;

Iovane, G ;

Giordano, P .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 62 (02) :345-363

[5]

BORYSENKO SD, 2006, INTEGROSUM INEQUALIT

[6] About some new integral inequalities of Wendroff type for discontinuous functions [J].

Borysenko, Sergiy ;

Iovane, Gerardo .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 66 (10) :2190-2203

[7] Integro-sum inequalities and motion stability of systems with impulse perturbations [J].

Borysenkoa, SD ;

Ciarletta, M ;

Iovane, G .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 62 (03) :417-428

[8]

Demidovich B. P., 1965, MAT SB, V66, P344

[9] Asymptotic stability and instability of the solutions of systems with impulse action [J].

Ignat'ev, A. O. ;

Ignat'ev, O. A. ;

Soliman, A. A. .

MATHEMATICAL NOTES, 2006, 80 (3-4) :491-499

[10] Some new integral inequalities of Bellman-Bihari type with delay for discontinuous functions [J].

Iovane, G. .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 66 (02) :498-508

← 1 2 3 →