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Connectivity properties of spaces of partial realizations

✍ Scribed by Wilfried Manthey; Uwe Helmke

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
147 KB
Volume
43
Category
Article
ISSN
0167-6911

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✦ Synopsis

This paper addresses the problem of determining the number of connected components of the space of real scalar M Γ—N Hankel matrices of rank n. For n Β‘ min{M; N } it is shown that the space has n + 1 components for M + N even, and is connected for M + N odd. As an application, the number of components of sets of minimal partial realizations of McMillan degree n 6 of length sequences is determined.

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