Geodesic
Constrained Controllability of Dynamic Systems
International Journal of Applied Mathematics and Computer Science, Tome 9 (1999) no. 2, pp. 231-244

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

The present paper is devoted to a study of constrained controllability and controllability for linear dynamic systems if the controls are taken to be non-negative. By analogy to the usual definition of controllability it is possible to introduce the concept of positive controllability. Weshall concentrate on approximate positive controllability for linear infinite-dimensional dynamic systems when the values of controls are taken from a positive closed convex cone and the operator of the system is normal and has pure discrete point spectrum. Special attention is paid to positive infinite-dimensional linear dynamic systems. General approximate constrained controllability results are then applied to distributed-parameter dynamic systems described by linear partial-differential equations of parabolic type with various kinds of boundary conditions. Several remarks and comments on the relationships between different concepts of controllability are given. Finally, a simple illustrative example is also presented.
Keywords: constrained controllability, infinite-dimensional systems, distributed-parameter systems, positive dynamic systems
Mots-clés : sterowność wymuszona, system nieskończenie wymiarowy, system z rozproszonymi parametrami, system dynamiczny dodatni 
@article{IJAMCS_1999_9_2_a0,
     author = {Klamka, J.},
     title = {Constrained {Controllability} of {Dynamic} {Systems}},
     journal = {International Journal of Applied Mathematics and Computer Science},
     pages = {231--244},
     publisher = {mathdoc},
     volume = {9},
     number = {2},
     year = {1999},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IJAMCS_1999_9_2_a0/}
}
TY  - JOUR
AU  - Klamka, J.
TI  - Constrained Controllability of Dynamic Systems
JO  - International Journal of Applied Mathematics and Computer Science
PY  - 1999
SP  - 231
EP  - 244
VL  - 9
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IJAMCS_1999_9_2_a0/
LA  - en
ID  - IJAMCS_1999_9_2_a0
ER  - 
%0 Journal Article
%A Klamka, J.
%T Constrained Controllability of Dynamic Systems
%J International Journal of Applied Mathematics and Computer Science
%D 1999
%P 231-244
%V 9
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IJAMCS_1999_9_2_a0/
%G en
%F IJAMCS_1999_9_2_a0
Klamka, J. Constrained Controllability of Dynamic Systems. International Journal of Applied Mathematics and Computer Science, Tome 9 (1999) no. 2, pp. 231-244. http://geodesic.mathdoc.fr/item/IJAMCS_1999_9_2_a0/