Geodesic
Weak regularizability and pole assignment for non-square linear systems
Kybernetika, Tome 48 (2012) no. 6, pp. 1065-1088

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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.
Classification : 93B52, 93B55, 93C05
Keywords: linear systems; linear state feedback; pole assignment 
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     author = {Korotka, Tetiana and Loiseau, Jean Jacques and Zagalak, Petr},
     title = {Weak regularizability and pole assignment for non-square linear systems},
     journal = {Kybernetika},
     pages = {1065--1088},
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     year = {2012},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2012__48_6_a0/}
}
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Korotka, Tetiana; Loiseau, Jean Jacques; Zagalak, Petr. Weak regularizability and pole assignment for non-square linear systems. Kybernetika, Tome 48 (2012) no. 6, pp. 1065-1088. http://geodesic.mathdoc.fr/item/KYB_2012__48_6_a0/