DocumentCode
2276224
Title
Stability of linear differential equations with distributed delay
Author
Tchangani, A.P. ; Dambrine, M. ; Richard, J.P.
Author_Institution
Ecole Central de Lille, Villeneuve d´´Ascq, France
Volume
4
fYear
1997
fDate
10-12 Dec 1997
Firstpage
3779
Abstract
Deals with the stability analysis of linear functional differential equation (FDEs) of retarded type, with both discrete and distributed delay. The main tool used for solving such problem is based on a comparison principle: the behaviour of the solutions of the initial system is compared, through some regular vector Lyapunov functions (RVLF), to the behaviour of the solution of some simpler FDE
Keywords
Lyapunov methods; delay systems; delays; eigenvalues and eigenfunctions; functional equations; linear differential equations; linear systems; stability; comparison principle; discrete delay; distributed delay; linear functional differential equation; regular vector Lyapunov functions; stability analysis; Biological system modeling; Computational biology; Control systems; Delay systems; Differential equations; Eigenvalues and eigenfunctions; Lyapunov method; Stability analysis; Systems biology; Vectors;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
Conference_Location
San Diego, CA
ISSN
0191-2216
Print_ISBN
0-7803-4187-2
Type
conf
DOI
10.1109/CDC.1997.652446
Filename
652446
Link To Document