DocumentCode
702471
Title
Impulsive behaviors of discrete and continuous time varying systems: A unified approach
Author
Bourles, H.
Author_Institution
SATIE, ENS de Cachan and CNAM, 61 avenue du Pt. Wilson, 94230 Cachan, France
fYear
2003
fDate
1-4 Sept. 2003
Firstpage
3159
Lastpage
3164
Abstract
A unified theory of continuous time impulsive behaviors (consisting of linear combinations of the Dirac distribution and its derivatives, generated by "inconsistent initial conditions") and of discrete time impulsive behaviors (consisting of backward solutions with finite support, generated by "inconsistent final consitions") is developed first in an analytic setting, then in an algebraic one; the latter is valid for possibly time varying systems. The effectiveness of the theory is illustrated through several examples.
Keywords
Diffusion tensor imaging; Finite element analysis; Laplace equations; Linear systems; Mathematical model; Polynomials; Time-varying systems; Impulsive behavior; backward solution; module; time-varying system;
fLanguage
English
Publisher
ieee
Conference_Titel
European Control Conference (ECC), 2003
Conference_Location
Cambridge, UK
Print_ISBN
978-3-9524173-7-9
Type
conf
Filename
7086525
Link To Document