MANTHEY, W and HELMKE, U and HINRICHSEN, D (1992) TOPOLOGICAL ASPECTS OF THE PARTIAL-REALIZATION PROBLEM. MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 5 (2). pp. 117-149. ISSN 0932-4194,
Full text not available from this repository.Abstract
In this paper we study the topology of manifolds of rectangular Hankel matrices, motivated by the problem of partial realization. Following Fischer and Frobenius, we introduce a rank-preserving G1(2, R)-action on the space Hank(M x N) of all real M x N Hankel matrices. We derive an explicit formula for the first n x n principal minor of transformed Hankel matrices. Extending the earlier work of Brockett, the formula is applied to introduce a manifold structure on the space Hank(n, M x N) of all M x N Hankels of rank n. We construct a cell decomposition of Hank(M x N) which induces a cellular subdivision on each of the manifolds Hank(n, M x N) where n less-than-or-equal-to min(M, N). This new cell decomposition is applied to investigate the topology of partial realizations.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | HANKEL-MATRICES; LINEAR-SYSTEMS; DECOMPOSITION; HANKEL MATRICES; MANIFOLDS; PARTIAL REALIZATION; CELL DECOMPOSITION; BRUHAT DECOMPOSITION; PRINCIPAL MINORS |
| Depositing User: | Dr. Gernot Deinzer |
| Last Modified: | 19 Oct 2022 08:44 |
| URI: | https://pred.uni-regensburg.de/id/eprint/54716 |
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