Abstract
We introduce and develop a notion of left zero-pole structure for a possibly nonregular rational matrix function analogous to notions introduced recently for the regular case. We then solve the inverse problem of constructing a rational matrix function with a given left zero-pole structure.
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Dedicated to the memory of M. G. Krein
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Ball, J.A., Rakowski, M. (1990). Zero-Pole Structure of Nonregular Rational Matrix Functions. In: Gohberg, I. (eds) Extension and Interpolation of Linear Operators and Matrix Functions. Operator Theory: Advances and Applications, vol 47. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7701-5_3
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DOI: https://doi.org/10.1007/978-3-0348-7701-5_3
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