Abstract
In this paper we expand some of the results of [8, 9, 10]. In fact, using the techniques of [8, 9, 10], we provide formulas for the full rank inner-outer factorization of a wide matrix-valued rational function G with H∞ entries, that is, functions G with more columns than rows. State space formulas are derived for the inner and outer factor of G.
Dedicated to our friend and mentor Rien Kaashoek on the occasion of his eightieth birthday, with gratitude for inspiring and motivating us to work on many interesting problems.
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Frazho, A.E., Ran, A.C.M. (2018). A note on inner-outer factorization of wide matrix-valued functions. In: Bart, H., ter Horst, S., Ran, A., Woerdeman, H. (eds) Operator Theory, Analysis and the State Space Approach. Operator Theory: Advances and Applications, vol 271. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-04269-1_8
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DOI: https://doi.org/10.1007/978-3-030-04269-1_8
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-030-04268-4
Online ISBN: 978-3-030-04269-1
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