Geodesic
Quantitative Lp stability analysis of a class of linear time-varying feedback systems
International Journal of Applied Mathematics and Computer Science, Tome 13 (2003) no. 2, pp. 179-184.

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

The Lp stability of linear feedback systems with a single time-varying sector-bounded element is considered. A sufficient condition for Lp stability, with 1LpL Y, is obtained by utilizing the well-known small gain theorem. Based on the stability measure provided by this theorem, quantitative results that describe output-to-input relations are obtained. It is proved that if the linear time-invariant part of the system belongs to the class of proper positive real transfer functions with a single pole at the origin, the upper bound on the output-to-input ratio is constant. Thus, an explicit closed-form calculation of this bound for some simple particular case provides a powerful generalization for the more complex cases. The importance of the results is illustrated by an example taken from missile guidance theory.
Keywords: Lp stability, time-varying Lur'e systems, functional analysis
Mots-clés : automatyka, robotyka 
@article{IJAMCS_2003_13_2_a5,
     author = {Gurfil, P.},
     title = {Quantitative {Lp} stability analysis of a class of linear time-varying feedback systems},
     journal = {International Journal of Applied Mathematics and Computer Science},
     pages = {179--184},
     publisher = {mathdoc},
     volume = {13},
     number = {2},
     year = {2003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IJAMCS_2003_13_2_a5/}
}
TY  - JOUR
AU  - Gurfil, P.
TI  - Quantitative Lp stability analysis of a class of linear time-varying feedback systems
JO  - International Journal of Applied Mathematics and Computer Science
PY  - 2003
SP  - 179
EP  - 184
VL  - 13
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IJAMCS_2003_13_2_a5/
LA  - en
ID  - IJAMCS_2003_13_2_a5
ER  - 
%0 Journal Article
%A Gurfil, P.
%T Quantitative Lp stability analysis of a class of linear time-varying feedback systems
%J International Journal of Applied Mathematics and Computer Science
%D 2003
%P 179-184
%V 13
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IJAMCS_2003_13_2_a5/
%G en
%F IJAMCS_2003_13_2_a5
Gurfil, P. Quantitative Lp stability analysis of a class of linear time-varying feedback systems. International Journal of Applied Mathematics and Computer Science, Tome 13 (2003) no. 2, pp. 179-184. http://geodesic.mathdoc.fr/item/IJAMCS_2003_13_2_a5/