Title :
Problems of Adamjan Arov-Krein type on subsets of the circle
Author :
Baratchart, Laurent ; Leblond, Juliette ; Partington, Jonathan R.
Author_Institution :
INRIA, Sophia-Antipolis, France
Abstract :
We generalize to subsets of the unit circle various approximation problems of Adamjan-Arov-Krein type. Both the approximation and the completion issues are treated and linked together. The given solutions are used to solve band-limited versions of the Nevanlinna-Pick problem. The results impinge on robust identification and inverse problems.
Keywords :
approximation theory; geometry; interpolation; inverse problems; set theory; Adamjan-Arov-Krein type approximation problem; band-limited Nevanlinna-Pick problem; inverse problems; robust identification; unit circle subsets; Electronic mail; Facsimile; Frequency-domain analysis; Interpolation; Polynomials; Robustness; Hankel operators; frequency-domain identification; infinite-dimensional systems; interpolation; inverse problems;
Conference_Titel :
Control Conference (ECC), 1997 European
Conference_Location :
Brussels
Print_ISBN :
978-3-9524269-0-6
