THE STABILITY OF LINEAR POTENTIAL GYROSCOPIC SYSTEMS WHEN THE POTENTIAL-ENERGY HAS A MAXIMUM

Authors
BULATOVIC RM
Citation
Rm. Bulatovic, THE STABILITY OF LINEAR POTENTIAL GYROSCOPIC SYSTEMS WHEN THE POTENTIAL-ENERGY HAS A MAXIMUM, Journal of applied mathematics and mechanics, 61(3), 1997, pp. 371-375
Citations number
15
Categorie Soggetti
Mathematics,Mathematics,Mechanics
Journal title
Journal of applied mathematics and mechanics → ACNP
ISSN journal
00218928
Volume
61
Issue
3
Year of publication
1997
Pages
371 - 375
Database
ISI
SICI code
0021-8928(1997)61:3<371:TSOLPG>2.0.ZU;2-5
Abstract
A brief review of the stability of linear systems acted upon by potent ial and gyroscopic forces is given. Some assertions on the stability o f these systems are proved using Lyapunov's direct method. In particul ar, the necessary and sufficient conditions of stability for the syste ms investigated previously in [1, 2] are obtained. (C) 1997 Elsevier S cience Ltd. All rights reserved.