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A note on the geometry of partial realization. (English) Zbl 0726.93016
Realization and modelling in system theory, Proc. Int. Symp., Math. Theory Networks Syst., MTNS, Vol. I, Amsterdam/Neth. 1989, Prog. Syst. Control Theory 3, 157-165 (1990).
Summary: [For the entire collection see Zbl 0723.00046.]
We study some geometrical questions related to partial realization. In particular, we construct a cellular decomposition of the space S(n,\(\tau\)) of all finite sequences of fixed length \(\tau\) which have a minimal realization of dimension \(n\leq \tau\). Moreover, we present continuity results for different canonical realization maps on the sequence spaces S(n,\(\tau\)).

MSC:
93B15 Realizations from input-output data
93B10 Canonical structure
93B27 Geometric methods