Titlebook: Interpolation of Rational Matrix Functions; Joseph A. Ball,Israel Gohberg,Leiba Rodman Book 1990 Springer Basel AG 1990 constraint.control

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Introductionn systems theory and control. Both homogeneous and nonhomogeneous interpolation problems, with and without additional constraints are treated. In each case conditions for the existence of a solution and explicit formulas and procedures are presented.

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Local Data for Meromorphic Matrix Functionss introduced and studied. In contrast to the scalar case, a new feature appears in the matrix case, namely, a meromorphic matrix function can have a zero and a pole at the same point. This chapter contains the analysis of null and pole chains, null and pole pairs, null and pole triples and singular parts, as well as connections among them.

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