The Relationship Between the Infinite Eigenvalue Assignment for Singular Systems and the Solvability of Polynomial Matrix Equations
International Journal of Applied Mathematics and Computer Science, Tome 13 (2003) no. 2, pp. 161-167
Cet article a éte moissonné depuis la source Library of Science
Two related problems, namely the problem of the infinite eigenvalue assignment and that of the solvability of polynomial matrix equations are considered. Necessary and sufficient conditions for the existence of solutions to both the problems are established. The relationships between the problems are discussed and some applications from the field of the perfect observer design for singular linear systems are presented.
Keywords:
assignment, infinite eigenvalue, singular, polynomial matrix equation, system, reliationship
Mots-clés : automatyka, robotyka
Mots-clés : automatyka, robotyka
@article{IJAMCS_2003_13_2_a3,
author = {Kaczorek, T.},
title = {The {Relationship} {Between} the {Infinite} {Eigenvalue} {Assignment} for {Singular} {Systems} and the {Solvability} of {Polynomial} {Matrix} {Equations}},
journal = {International Journal of Applied Mathematics and Computer Science},
pages = {161--167},
year = {2003},
volume = {13},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IJAMCS_2003_13_2_a3/}
}
TY - JOUR AU - Kaczorek, T. TI - The Relationship Between the Infinite Eigenvalue Assignment for Singular Systems and the Solvability of Polynomial Matrix Equations JO - International Journal of Applied Mathematics and Computer Science PY - 2003 SP - 161 EP - 167 VL - 13 IS - 2 UR - http://geodesic.mathdoc.fr/item/IJAMCS_2003_13_2_a3/ LA - en ID - IJAMCS_2003_13_2_a3 ER -
%0 Journal Article %A Kaczorek, T. %T The Relationship Between the Infinite Eigenvalue Assignment for Singular Systems and the Solvability of Polynomial Matrix Equations %J International Journal of Applied Mathematics and Computer Science %D 2003 %P 161-167 %V 13 %N 2 %U http://geodesic.mathdoc.fr/item/IJAMCS_2003_13_2_a3/ %G en %F IJAMCS_2003_13_2_a3
Kaczorek, T. The Relationship Between the Infinite Eigenvalue Assignment for Singular Systems and the Solvability of Polynomial Matrix Equations. International Journal of Applied Mathematics and Computer Science, Tome 13 (2003) no. 2, pp. 161-167. http://geodesic.mathdoc.fr/item/IJAMCS_2003_13_2_a3/