Analytic interpolation with degree constraint: a constructive theory with applications to control and signal processing

Author

Byrnes, Christopher I. ; Georgiou, Tryphon T. ; Lindquist, Anders

Author_Institution

Dept. of Syst. Sci. & Math., Washington Univ., St. Louis, MO, USA

Volume

1

fYear

1999

fDate

6/21/1905 12:00:00 AM

Firstpage

982

Abstract

We present a constructive theory for solving the Nevanlinna-Pick problem with a degree constraint. The theory relies on convex optimization, and the method generates all solutions with degree less than the number of interpolation conditions. The degree of the interpolant relates to the dimension of the feedback control system or of a modeling filter, depending on the context for the particular application

Keywords

constraint theory; control theory; convex programming; feedback; filtering theory; interpolation; signal processing; Nevanlinna-Pick problem; analytic interpolation; constructive theory; control applications; convex optimization; feedback control system dimensions; interpolant degree constraint; interpolation conditions; modeling filter dimensions; signal processing applications; Constraint theory; Context modeling; Feedback control; Interpolation; Optimization methods; Polynomials; Process control; Signal analysis; Signal processing; USA Councils;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1999. Proceedings of the 38th IEEE Conference on

ISSN

0191-2216

Print_ISBN

0-7803-5250-5

Type

conf

DOI

10.1109/CDC.1999.832922

Filename

832922