Abstract
In this note we study some geometrical questions related to partial realization. In particular, we construct a cellular decomposition of the space S(n,τ) of all finite sequences of fixed length τ which have a minimal realization of dimension n ≤ τ. Moreover, we present continuity results for different canonical realization maps on the sequence spaces S(n,τ).
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© 1990 Birkhäuser Boston
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Manthey, W., Helmke, U., Hinrichsen, D. (1990). A Note on the Geometry of Partial Realization. In: Kaashoek, M.A., van Schuppen, J.H., Ran, A.C.M. (eds) Realization and Modelling in System Theory. Progress in Systems and Control Theory, vol 3. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-3462-3_16
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DOI: https://doi.org/10.1007/978-1-4612-3462-3_16
Publisher Name: Birkhäuser Boston
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Online ISBN: 978-1-4612-3462-3
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