AN AVERAGING THEOREM FOR TIME-PERIODIC DEGREE ZERO HOMOGENEOUS DIFFERENTIAL-EQUATIONS

Authors
MCLOSKEY RT
Citation
Rt. Mcloskey, AN AVERAGING THEOREM FOR TIME-PERIODIC DEGREE ZERO HOMOGENEOUS DIFFERENTIAL-EQUATIONS, Systems & control letters, 32(3), 1997, pp. 179-183
Citations number
19
Journal title
Systems & control letters → ACNP
ISSN journal
01676911
Volume
32
Issue
3
Year of publication
1997
Pages
179 - 183
Database
ISI
SICI code
0167-6911(1997)32:3<179:AATFTD>2.0.ZU;2-F
Abstract
This paper considers the stability of the differential equation (x) ov er dot=epsilon X(t,x,epsilon), x is an element of R-n, where X(t,x,eps ilon) is a time-periodic, degree zero homogeneous vector field and eps ilon>0 is a parameter. It is shown that asymptotic stability of the ti me-averaged equation implies asymptotic stability of the original syst em for epsilon sufficiently small. (C) 1997 Elsevier Science B.V.