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
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;
Conference_Titel :
Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4187-2
DOI :
10.1109/CDC.1997.652446
