Geodesic
Poles and zeroes of nonlinear control systems
Kybernetika, Tome 38 (2002) no. 5, p. [609]

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

During the last ten years, the concepts of “poles” and “zeros” for linear control systems have been revisited by using modern commutative algebra and module theory as a powerful substitute for the theory of polynomial matrices. Very recently, these concepts have been extended to multidimensional linear control systems with constant coefficients. Our purpose is to use the methods of “algebraic analysis” in order to extend these concepts to the variable coefficients case and, as a byproduct, to the nonlinear situation. We also provide nontrivial explicit examples.
Classification : 93B25, 93B55, 93B60, 93C10
Keywords: pole; zero; nonlinear control system 
@article{KYB_2002__38_5_a8,
     author = {Pommaret, Jean-Fran\c{c}ois},
     title = {Poles and zeroes of nonlinear control systems},
     journal = {Kybernetika},
     pages = {[609]},
     publisher = {mathdoc},
     volume = {38},
     number = {5},
     year = {2002},
     mrnumber = {1966949},
     zbl = {1265.93117},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2002__38_5_a8/}
}
TY  - JOUR
AU  - Pommaret, Jean-François
TI  - Poles and zeroes of nonlinear control systems
JO  - Kybernetika
PY  - 2002
SP  - [609]
VL  - 38
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/KYB_2002__38_5_a8/
LA  - en
ID  - KYB_2002__38_5_a8
ER  - 
%0 Journal Article
%A Pommaret, Jean-François
%T Poles and zeroes of nonlinear control systems
%J Kybernetika
%D 2002
%P [609]
%V 38
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/KYB_2002__38_5_a8/
%G en
%F KYB_2002__38_5_a8
Pommaret, Jean-François. Poles and zeroes of nonlinear control systems. Kybernetika, Tome 38 (2002) no. 5, p. [609]. http://geodesic.mathdoc.fr/item/KYB_2002__38_5_a8/