Geodesic
Szego's First Limit Theorem in Terms of a Realization of a Continuous-Time Time-Varying System
International Journal of Applied Mathematics and Computer Science, Tome 11 (2001) no. 6, pp. 1261-1276.

Voir la notice de l'article provenant de la source Library of Science

It is shown that the limit in an abstract version of Szego's limit theorem can be expressed in terms of the antistable dynamics of the system. When the system dynamics are regular, it is shown that the limit equals the difference between the antistable Lyapunov exponents of the system and those of its inverse. In the general case, the elements of the dichotomy spectrum give lower and upper bounds.
Keywords: time varying systems, exponential dichotomies, coprime, inner/outer factorizations
Mots-clés : system opóźniania, teoria systemów 
@article{IJAMCS_2001_11_6_a2,
     author = {Iglesias, P. A. and Zang, G.},
     title = {Szego's {First} {Limit} {Theorem} in {Terms} of a {Realization} of a {Continuous-Time} {Time-Varying} {System}},
     journal = {International Journal of Applied Mathematics and Computer Science},
     pages = {1261--1276},
     publisher = {mathdoc},
     volume = {11},
     number = {6},
     year = {2001},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IJAMCS_2001_11_6_a2/}
}
TY  - JOUR
AU  - Iglesias, P. A.
AU  - Zang, G.
TI  - Szego's First Limit Theorem in Terms of a Realization of a Continuous-Time Time-Varying System
JO  - International Journal of Applied Mathematics and Computer Science
PY  - 2001
SP  - 1261
EP  - 1276
VL  - 11
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IJAMCS_2001_11_6_a2/
LA  - en
ID  - IJAMCS_2001_11_6_a2
ER  - 
%0 Journal Article
%A Iglesias, P. A.
%A Zang, G.
%T Szego's First Limit Theorem in Terms of a Realization of a Continuous-Time Time-Varying System
%J International Journal of Applied Mathematics and Computer Science
%D 2001
%P 1261-1276
%V 11
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IJAMCS_2001_11_6_a2/
%G en
%F IJAMCS_2001_11_6_a2
Iglesias, P. A.; Zang, G. Szego's First Limit Theorem in Terms of a Realization of a Continuous-Time Time-Varying System. International Journal of Applied Mathematics and Computer Science, Tome 11 (2001) no. 6, pp. 1261-1276. http://geodesic.mathdoc.fr/item/IJAMCS_2001_11_6_a2/