Geodesic
On controllability criteria for linear time-invariant singularly perturbed systems
Trudy Instituta matematiki, Tome 14 (2006) no. 2, pp. 54-65

Voir la notice de l'article provenant de la source Math-Net.Ru

For linear time-invariant singularly perturbed systems some effective necessary and sufficient conditions of complete controllability and controllability with respect to a part of variables are proved. All results are formulated in terms of defining equations that are matrix algebraic equations. These equations are constructed directly and are determined by a singularly perturbed system under investigation. A mathematical model of a moving passenger car with an active suspension as a control object for a singularly perturbed system is proposed. Results of the paper are applied to investigating complete controllability of an active suspension quarter-car model. 
@article{TIMB_2006_14_2_a6,
     author = {T. B. Kopeikina},
     title = {On controllability criteria for linear time-invariant singularly perturbed systems},
     journal = {Trudy Instituta matematiki},
     pages = {54--65},
     publisher = {mathdoc},
     volume = {14},
     number = {2},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMB_2006_14_2_a6/}
}
TY  - JOUR
AU  - T. B. Kopeikina
TI  - On controllability criteria for linear time-invariant singularly perturbed systems
JO  - Trudy Instituta matematiki
PY  - 2006
SP  - 54
EP  - 65
VL  - 14
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TIMB_2006_14_2_a6/
LA  - ru
ID  - TIMB_2006_14_2_a6
ER  - 
%0 Journal Article
%A T. B. Kopeikina
%T On controllability criteria for linear time-invariant singularly perturbed systems
%J Trudy Instituta matematiki
%D 2006
%P 54-65
%V 14
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TIMB_2006_14_2_a6/
%G ru
%F TIMB_2006_14_2_a6
T. B. Kopeikina. On controllability criteria for linear time-invariant singularly perturbed systems. Trudy Instituta matematiki, Tome 14 (2006) no. 2, pp. 54-65. http://geodesic.mathdoc.fr/item/TIMB_2006_14_2_a6/