Using an Analog of the Lyapunov Function with Sign-Alternating Derivative in the Study of Global Asymptotic Stability of Equilibria
Matematičeskie zametki, Tome 96 (2014) no. 2, pp. 212-216
Voir la notice de l'article provenant de la source Math-Net.Ru
The paper deals with the problem of global asymptotic stability of the zero solution of a system of autonomous differential equations. A proposed method for studying this problem is based on the use of an auxiliary positive definite function whose derivative can be sign-alternating along solutions of the system.
Keywords:
global asymptotic stability, stability, equilibrium, Lyapunov function.
@article{MZM_2014_96_2_a5,
author = {A. O. Ignatyev},
title = {Using an {Analog} of the {Lyapunov} {Function} with {Sign-Alternating} {Derivative} in the {Study} of {Global} {Asymptotic} {Stability} of {Equilibria}},
journal = {Matemati\v{c}eskie zametki},
pages = {212--216},
publisher = {mathdoc},
volume = {96},
number = {2},
year = {2014},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2014_96_2_a5/}
}
TY - JOUR AU - A. O. Ignatyev TI - Using an Analog of the Lyapunov Function with Sign-Alternating Derivative in the Study of Global Asymptotic Stability of Equilibria JO - Matematičeskie zametki PY - 2014 SP - 212 EP - 216 VL - 96 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MZM_2014_96_2_a5/ LA - ru ID - MZM_2014_96_2_a5 ER -
%0 Journal Article %A A. O. Ignatyev %T Using an Analog of the Lyapunov Function with Sign-Alternating Derivative in the Study of Global Asymptotic Stability of Equilibria %J Matematičeskie zametki %D 2014 %P 212-216 %V 96 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/MZM_2014_96_2_a5/ %G ru %F MZM_2014_96_2_a5
A. O. Ignatyev. Using an Analog of the Lyapunov Function with Sign-Alternating Derivative in the Study of Global Asymptotic Stability of Equilibria. Matematičeskie zametki, Tome 96 (2014) no. 2, pp. 212-216. http://geodesic.mathdoc.fr/item/MZM_2014_96_2_a5/