The geometry of the partial realization problem
- 1 January 1978
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- p. 1048-1052
- https://doi.org/10.1109/cdc.1978.268090
Abstract
In this paper we show that the space of sequences of length n which have an extrapolation of McMillan degree k, and no extrapolations of lower Millan degree can be given the structure of a differentiable manifold. Our approach makes the proof of certain known results on the partial realization problem quite straightforward and allows us to establish some important new results as well. A key tool is the fact, proven here, that the set of n by n real Hankel matrices of rank r is a manifold with r+1 connected components.Keywords
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