an:04200062
Zbl 0726.93016
Manthey, W.; Helmke, Uwe; Hinrichsen, Diederich
A note on the geometry of partial realization
EN
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).
1990
a
93B15 93B10 93B27
cellular decomposition
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,\(\tau\)).
Zbl 0723.00046