The parametrization of solutions to scalar interpolation problems with a degree constraint relies on the concept of spectral-zeros -these are the poles of the inverse of a corresponding spectral factor. In fact, under a certain degree constraint, the spectral-zeros are free (modulo a stability requirement) and parameterize all solutions. The subject of this paper is the multivariable analog of a Nehari-like analytic interpolation with a degree constraint. Our main result is based on Rosenbrock's pole assignability theorem and addresses the freedom in assigning the Jordan structure of the spectral-zero dynamics.
|Title of host publication
|Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008
|Institute of Electrical and Electronics Engineers Inc.
|Number of pages
|Published - 2008
|47th IEEE Conference on Decision and Control, CDC 2008 - Cancun, Mexico
Duration: Dec 9 2008 → Dec 11 2008
|Proceedings of the IEEE Conference on Decision and Control
|47th IEEE Conference on Decision and Control, CDC 2008
|12/9/08 → 12/11/08