Geodesic
Alternate checking criteria for reachable controllability of rectangular descriptor systems
Kybernetika, Tome 53 (2017) no. 5, pp. 820-837.

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

Contrary to state space systems, there are different notions of controllability for linear time invariant descriptor systems due to the non smooth inputs and inconsistent initial conditions. A comprehensive study of different notions of controllability for linear descriptor systems is performed. Also, it is proved that reachable controllability for general linear time invariant descriptor system is equivalent to the controllability of some matrix pair under an assumption milder than impulse controllability. The whole theory has been developed by coining two new decompositions for system matrices. Examples are given to illustrate the presented theory.
DOI : 10.14736/kyb-2017-5-0820
Classification : 93B05, 93B25
Keywords: descriptor systems; controllability; reachable controllability 
@article{10_14736_kyb_2017_5_0820,
     author = {Mishra, Vikas Kumar and Tomar, Nutan Kumar},
     title = {Alternate checking criteria for reachable controllability of rectangular descriptor systems},
     journal = {Kybernetika},
     pages = {820--837},
     publisher = {mathdoc},
     volume = {53},
     number = {5},
     year = {2017},
     doi = {10.14736/kyb-2017-5-0820},
     mrnumber = {3750105},
     zbl = {06861626},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.14736/kyb-2017-5-0820/}
}
TY  - JOUR
AU  - Mishra, Vikas Kumar
AU  - Tomar, Nutan Kumar
TI  - Alternate checking criteria for reachable controllability of rectangular descriptor systems
JO  - Kybernetika
PY  - 2017
SP  - 820
EP  - 837
VL  - 53
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.14736/kyb-2017-5-0820/
DO  - 10.14736/kyb-2017-5-0820
LA  - en
ID  - 10_14736_kyb_2017_5_0820
ER  - 
%0 Journal Article
%A Mishra, Vikas Kumar
%A Tomar, Nutan Kumar
%T Alternate checking criteria for reachable controllability of rectangular descriptor systems
%J Kybernetika
%D 2017
%P 820-837
%V 53
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.14736/kyb-2017-5-0820/
%R 10.14736/kyb-2017-5-0820
%G en
%F 10_14736_kyb_2017_5_0820
Mishra, Vikas Kumar; Tomar, Nutan Kumar. Alternate checking criteria for reachable controllability of rectangular descriptor systems. Kybernetika, Tome 53 (2017) no. 5, pp. 820-837. doi : 10.14736/kyb-2017-5-0820. http://geodesic.mathdoc.fr/articles/10.14736/kyb-2017-5-0820/

Cité par Sources :