Asymptotic stability and instability of the solutions of systems with impulse action

被引：24

作者：

Ignat'ev, A. O. ^{[1
]}

Ignat'ev, O. A.

Soliman, A. A.

机构：

[1] Natl Acad Sci Ukraine, Inst Appl Math & Mech, Donetsk, Ukraine

[2] Kent State Univ, Kent, OH 44242 USA

[3] Benha Univ, Kalubia, Egypt

来源：

MATHEMATICAL NOTES | 2006年 / 80卷 / 3-4期

关键词：

differential equation with impulse action; dynamical system with discontinuous trajectories; asymptotic stability; Lyapunov function;

D O I：

10.1007/s11006-006-0167-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the stability of the zero solution of a system of ordinary differential equations subject to impulse action. Using the method of Lyapunov functions, we obtain tests for asymptotic stability or instability of the system. Illustrative examples are given.

引用

页码：491 / 499

页数：9

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