Citation
Jh. Shen et al., Impulsive stabilization of functional differential equations via Liapunov functionals, J MATH ANAL, 240(1), 1999, pp. 1-15
Citations number
13
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN journal
0022247X
→ ACNP
Volume
240
Issue
1
Year of publication
1999
Pages
1 - 15
Database
ISI
SICI code
0022-247X(199912)240:1<1:ISOFDE>2.0.ZU;2-E
Abstract
In this paper, we consider the impulsive stabilization problems for a class
of impulsive functional differential equation of the form
x'(t) = f(t, x(t)), t greater than or equal to t(0),
Delta x = I-k(t, x(t(-))), t=t(k), k epsilon Z(+).
Our method is based on the application of the Liapunov second method togeth
er with Liapunov functionals. (C) 1999 Academic Press.