Weak regularizability and pole assignment for non-square linear systems

Tetiana Korotka; Jean-Jacques Loiseau; Petr Zagalak

Kybernetika (2012)

  • Volume: 48, Issue: 6, page 1065-1088
  • ISSN: 0023-5954

Abstract

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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.

How to cite

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Korotka, Tetiana, Loiseau, Jean-Jacques, and Zagalak, Petr. "Weak regularizability and pole assignment for non-square linear systems." Kybernetika 48.6 (2012): 1065-1088. <http://eudml.org/doc/251434>.

@article{Korotka2012,
abstract = {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.},
author = {Korotka, Tetiana, Loiseau, Jean-Jacques, Zagalak, Petr},
journal = {Kybernetika},
keywords = {linear systems; linear state feedback; pole assignment; linear systems; linear state feedback; pole assignment; regularizability of square systems},
language = {eng},
number = {6},
pages = {1065-1088},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Weak regularizability and pole assignment for non-square linear systems},
url = {http://eudml.org/doc/251434},
volume = {48},
year = {2012},
}

TY - JOUR
AU - Korotka, Tetiana
AU - Loiseau, Jean-Jacques
AU - Zagalak, Petr
TI - Weak regularizability and pole assignment for non-square linear systems
JO - Kybernetika
PY - 2012
PB - Institute of Information Theory and Automation AS CR
VL - 48
IS - 6
SP - 1065
EP - 1088
AB - 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.
LA - eng
KW - linear systems; linear state feedback; pole assignment; linear systems; linear state feedback; pole assignment; regularizability of square systems
UR - http://eudml.org/doc/251434
ER -

References

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  10. Loiseau, J. J., Zagalak, P., 10.1080/00207170802400954, Internat. J. Control 82 (2009), 7, 1179-1192. Zbl1168.93009MR2532197DOI10.1080/00207170802400954
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  12. Rosenbrock, R. R., State-space and Multivariable Theory., Nelson, London 1970. Zbl0246.93010
  13. Vardulakis, A. I. G., Limebeer, D. N. J., Karcanias, N., 10.1080/00207178208922649, Internat. J. Control 35 (1982), 4, 701-725. MR0669973DOI10.1080/00207178208922649
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