2013 | OriginalPaper | Buchkapitel
Rational Matrix Solutions of a Bezout Type Equation on the Half-plane
verfasst von : A. E. Frazho, M. A. Kaashoek, A. C. M. Ran
Erschienen in: Advances in Structured Operator Theory and Related Areas
Verlag: Springer Basel
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A state space description is given of all stable rational matrix solutions of a general rational Bezout type equation on the right half-plane. Included are a state space formula for a particular solution satisfying a certain
H
2
minimality condition, a state space formula for the inner function describing the null space of the multiplication operator corresponding to the Bezout equation, and a parameterization of all solutions using the particular solution and this inner function. A state space version of the related Tolokonnikov lemma is also presented.