Abstract
A coprime representation of a rational matrix function R(z) is a representation of the form R(z) = N R (z)D R (z)−1 where N R and D R are matrix polynomials. A coprime representation of this form is called right coprime representation, in contrast to the left which has the form R(z) = D L (z)−1 N L (z) where D L and N L for matrix polynomials D L and N L . The interpolation problem which we solve here is to find R(z) with given right numerator N R and given left denominator D L .
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Notes for Part II
I. Gohberg, M.A. Kaashoek, L. Lerer and L. Rodman [ 1984 ], Minimal divisors of rational matrix functions with prescribed zero and pole structure, in Operator Theory: Advances and Applications, OT 12, Birkhäuser-Verlag, Basel, pp. 241–275.
T. Kailath [ 1980 ], Linear Systems, Prentice Hall, Englewood Cliffs, NJ.
M. Vidyasagar [ 1985 ], Control System Synthesis: a Factorization Approach, The MIT Press, Cambridge, MA.
C.C. MacDuffee [ 1956 ], The Theory of Matrices, Chelsea, New York.
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© 1990 Springer Basel AG
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Ball, J.A., Gohberg, I., Rodman, L. (1990). Coprime Representation and an Interpolation Problem. In: Interpolation of Rational Matrix Functions. Operator Theory: Advances and Applications, vol 45. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7709-1_12
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DOI: https://doi.org/10.1007/978-3-0348-7709-1_12
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-7711-4
Online ISBN: 978-3-0348-7709-1
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