Abstract
A new approach to the problem of multivariable interpolation via all-pass transfer function matrices that are not necessarily stable is presented. It applies both state-space and classical function theoretic arguments and it 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.
| Original language | English |
|---|---|
| Pages (from-to) | 1167-1170 |
| Number of pages | 4 |
| Journal | IEEE Transactions on Automatic Control |
| Volume | 35 |
| Issue number | 10 |
| DOIs | |
| State | Published - Oct 1990 |