Geodesic
Control of distributed delay systems with uncertainties: a generalized Popov theory approach
Kybernetika, Tome 37 (2001) no. 3, pp. 325-343.

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

The paper deals with the generalized Popov theory applied to uncertain systems with distributed time delay. Sufficient conditions for stabilizing this class of delayed systems as well as for $\gamma $-attenuation achievement are given in terms of algebraic properties of a Popov system via a Liapunov–Krasovskii functional. The considered approach is new in the context of distributed linear time-delay systems and gives some interesting interpretations of $H^\infty $ memoryless control problems in terms of Popov triplets and associated objects. The approach is illustrated via numerical examples. Dedicated to Acad. Vlad Ionescu, in memoriam.
Classification : 93C23, 93C41, 93D10, 93D30
Keywords: Popov theory; time-delay system; uncertainty 
@article{KYB_2001__37_3_a8,
     author = {Ivanescu, Dan and Niculescu, Silviu-Iulian and Dion, Jean-Michel and Dugard, Luc},
     title = {Control of distributed delay systems with uncertainties: a generalized {Popov} theory approach},
     journal = {Kybernetika},
     pages = {325--343},
     publisher = {mathdoc},
     volume = {37},
     number = {3},
     year = {2001},
     mrnumber = {1859089},
     zbl = {1265.93197},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2001__37_3_a8/}
}
TY  - JOUR
AU  - Ivanescu, Dan
AU  - Niculescu, Silviu-Iulian
AU  - Dion, Jean-Michel
AU  - Dugard, Luc
TI  - Control of distributed delay systems with uncertainties: a generalized Popov theory approach
JO  - Kybernetika
PY  - 2001
SP  - 325
EP  - 343
VL  - 37
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/KYB_2001__37_3_a8/
LA  - en
ID  - KYB_2001__37_3_a8
ER  - 
%0 Journal Article
%A Ivanescu, Dan
%A Niculescu, Silviu-Iulian
%A Dion, Jean-Michel
%A Dugard, Luc
%T Control of distributed delay systems with uncertainties: a generalized Popov theory approach
%J Kybernetika
%D 2001
%P 325-343
%V 37
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/KYB_2001__37_3_a8/
%G en
%F KYB_2001__37_3_a8
Ivanescu, Dan; Niculescu, Silviu-Iulian; Dion, Jean-Michel; Dugard, Luc. Control of distributed delay systems with uncertainties: a generalized Popov theory approach. Kybernetika, Tome 37 (2001) no. 3, pp. 325-343. http://geodesic.mathdoc.fr/item/KYB_2001__37_3_a8/