EXPONENTIAL STABILITY OF NONLINEAR DIFFERENTIAL-DELAY EQUATIONS

Authors
MAO X
Citation
X. Mao, EXPONENTIAL STABILITY OF NONLINEAR DIFFERENTIAL-DELAY EQUATIONS, Systems & control letters, 28(3), 1996, pp. 159-165
Citations number
8
Categorie Soggetti
Controlo Theory & Cybernetics","System Science","Operatione Research & Management Science
Journal title
Systems & control letters → ACNP
ISSN journal
01676911
Volume
28
Issue
3
Year of publication
1996
Pages
159 - 165
Database
ISI
SICI code
0167-6911(1996)28:3<159:ESONDE>2.0.ZU;2-V
Abstract
The aim of this paper is to investigate the exponential stability of a nonlinear differential delay equation a(t) = f(t,x(t),x(t-tau)). Intr oduce the corresponding differential equation (without delay) y(t)=f(t ,y(t),y(t)) and assume it is exponentially stable. It will be shown in this paper that the differential delay equation will remain exponenti ally stable provided the time lag tau is small enough.