Asymptotic stability and instability of the solutions of systems with impulse action
Matematičeskie zametki, Tome 80 (2006) no. 4, pp. 516-525
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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.
@article{MZM_2006_80_4_a4,
author = {A. O. Ignatyev and O. A. Ignatyev and A. A. Soliman},
title = {Asymptotic stability and instability of the solutions of systems with impulse action},
journal = {Matemati\v{c}eskie zametki},
pages = {516--525},
publisher = {mathdoc},
volume = {80},
number = {4},
year = {2006},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2006_80_4_a4/}
}
TY - JOUR AU - A. O. Ignatyev AU - O. A. Ignatyev AU - A. A. Soliman TI - Asymptotic stability and instability of the solutions of systems with impulse action JO - Matematičeskie zametki PY - 2006 SP - 516 EP - 525 VL - 80 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MZM_2006_80_4_a4/ LA - ru ID - MZM_2006_80_4_a4 ER -
%0 Journal Article %A A. O. Ignatyev %A O. A. Ignatyev %A A. A. Soliman %T Asymptotic stability and instability of the solutions of systems with impulse action %J Matematičeskie zametki %D 2006 %P 516-525 %V 80 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/MZM_2006_80_4_a4/ %G ru %F MZM_2006_80_4_a4
A. O. Ignatyev; O. A. Ignatyev; A. A. Soliman. Asymptotic stability and instability of the solutions of systems with impulse action. Matematičeskie zametki, Tome 80 (2006) no. 4, pp. 516-525. http://geodesic.mathdoc.fr/item/MZM_2006_80_4_a4/