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On feedback equivalence and completion problems

✍ Scribed by Fernando C. Silva

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
508 KB
Volume
265
Category
Article
ISSN
0024-3795

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✦ Synopsis

In 1987, I. Zaballa characterized the possible similarity classes of a square matrix with some prescribed rows. In 1988, the same author characterized the possible feedback equivalence classes of [ A B ], where A is a fixed square matrix and B varies. Firstly, in this paper, we observe that these results are equivalent, that is, each one of them can be obtained as a corol]ary of the other. Then, we apply similar arguments to other inverse problems. In particular, we study the possible iuvariant polynomials and the possible characteristic pol)~omials of A + BX + YC, when X and Y vary, and we study the linear systems that can become completely observable with a suitable choice of linear state feedback control.

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