Title :
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
fDate :
6/21/1905 12:00:00 AM
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;
Conference_Titel :
Decision and Control, 1999. Proceedings of the 38th IEEE Conference on
Print_ISBN :
0-7803-5250-5
DOI :
10.1109/CDC.1999.832922
