Weak regularizability and pole assignment for non-square linear systems

0386325 - ÚTIA 2013 RIV CZ eng J - Článek v odborném periodiku
Korotka, Tetiana - Loiseau, J. J. - Zagalak, Petr
Weak regularizability and pole assignment for non-square linear systems.
Kybernetika. Roč. 48, č. 6 (2012), s. 1065-1088. ISSN 0023-5954
Grant CEP: GA ČR GAP103/12/2431
Klíčová slova: linear systems * linear state feedback * pole assignment
Kód oboru RIV: BC - Teorie a systémy řízení
Impakt faktor: 0.619, rok: 2012
http://library.utia.cas.cz/separaty/2013/AS/korotka-0386325.pdf

The problem of pole assignment by state feedback in the class of non-square linear systems is considered in the paper. It is shown that the problem is solvable under the assumption of weak regularizability, a newly introduced concept that can be viewed as a generalization of the regularizability of square systems. Necessary conditions of solvability for the problem of pole assignment are established. It is also shown that sufficient conditions can be derived in some special cases. Some conclusions and prospects for further studies are drawn in the last section.
Trvalý link: http://hdl.handle.net/11104/0216158