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Directional interpolation via all-pass transfer function matrices and its application in Hankel-norm approximations

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1 Author(s)
Shaked, U. ; Dept. of Electron. Syst., Tel-Aviv Univ., Israel

A new approach to the problem of multivariable interpolation via all-pass transfer function matrices that are not necessarily stable is presented. The approach applies to both state-space and classical function theoretic arguments and obtains a very simple expression for the all-pass matrix that satisfies the interpolation requirement. Unlike the solution that is obtained by the generalized Nevanlinna-Pick algorithm, this expression is derived in closed form explicitly in terms of the interpolation parameters. It allows a detailed investigation of the structure of the all-pass solution, and it is readily used in Hankel-norm approximations of linear multivariable systems

Published in:

Automatic Control, IEEE Transactions on  (Volume:35 ,  Issue: 10 )

Date of Publication:

Oct 1990

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