Abstract
Minimality of a lower separable representation is characterized and a procedure to reduce a lower separable representation to a minimal one is described. The results yield an algorithm to construct a minimal realization for a given impulse response matrix.
Dedicated to Israel Gohberg, a great mathematician and a wonderful friend, on the occasion of his sixtieth birthday, with admiration and affection.
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© 1989 Birkhäuser Verlag Basel
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Kaashoek, M.A., Woerdeman, H.J. (1989). Minimal Lower Separable Representations: Characterization and Construction. In: Dym, H., Goldberg, S., Kaashoek, M.A., Lancaster, P. (eds) The Gohberg Anniversary Collection. Operator Theory: Advances and Applications, vol 40/41. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-9144-8_34
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DOI: https://doi.org/10.1007/978-3-0348-9144-8_34
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9924-6
Online ISBN: 978-3-0348-9144-8
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