THE ASYMPTOTIC STABILITY OF THE EQUILIBRIUM OF NONAUTONOMOUS SYSTEMS

Authors
ALEKSANDROV AY
Citation
Ay. Aleksandrov, THE ASYMPTOTIC STABILITY OF THE EQUILIBRIUM OF NONAUTONOMOUS SYSTEMS, Journal of applied mathematics and mechanics, 62(1), 1998, pp. 31-36
Citations number
8
Categorie Soggetti
Mathematics,Mathematics,Mechanics
Journal title
Journal of applied mathematics and mechanics → ACNP
ISSN journal
00218928
Volume
62
Issue
1
Year of publication
1998
Pages
31 - 36
Database
ISI
SICI code
0021-8928(1998)62:1<31:TASOTE>2.0.ZU;2-Q
Abstract
A method of investigating the stability of non-linear systems acted up on by unsteady perturbations is proposed, based on the use of Lyapunov 's second method. The sufficient conditions for asymptotic stability o f the solutions of non-autonomous systems in critical cases are obtain ed. (C) 1998 Elsevier Science Ltd. All rights reserved.