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

Christopher I. Byrnes; Tryphon T Georgiou; Anders Lindquist

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

Christopher I. Byrnes
, Tryphon T Georgiou
, Anders Lindquist

Electrical and Computer Engineering

Research output: Contribution to journal › Conference article › peer-review

3 Scopus citations

Abstract

We present a constructive theory for solving the Nevanlinna-Pick problem with 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.

Original language	English (US)
Pages (from-to)	982-988
Number of pages	7
Journal	Proceedings of the IEEE Conference on Decision and Control
Volume	1
State	Published - Dec 1 1999
Event	The 38th IEEE Conference on Decision and Control (CDC) - Phoenix, AZ, USA Duration: Dec 7 1999 → Dec 10 1999

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@article{17991c5e129744bd9d05b4daab8e347b,

title = "Analytic interpolation with degree constraint: a constructive theory with applications to control and signal processing",

abstract = "We present a constructive theory for solving the Nevanlinna-Pick problem with 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.",

author = "Byrnes, \{Christopher I.\} and Georgiou, \{Tryphon T\} and Anders Lindquist",

year = "1999",

month = dec,

day = "1",

language = "English (US)",

volume = "1",

pages = "982--988",

journal = "Proceedings of the IEEE Conference on Decision and Control",

issn = "0191-2216",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

note = "The 38th IEEE Conference on Decision and Control (CDC) ; Conference date: 07-12-1999 Through 10-12-1999",

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TY - JOUR

T1 - Analytic interpolation with degree constraint

T2 - The 38th IEEE Conference on Decision and Control (CDC)

AU - Byrnes, Christopher I.

AU - Georgiou, Tryphon T

AU - Lindquist, Anders

PY - 1999/12/1

Y1 - 1999/12/1

N2 - We present a constructive theory for solving the Nevanlinna-Pick problem with 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.

AB - We present a constructive theory for solving the Nevanlinna-Pick problem with 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.

UR - https://www.scopus.com/pages/publications/0033313953

UR - https://www.scopus.com/pages/publications/0033313953#tab=citedBy

M3 - Conference article

AN - SCOPUS:0033313953

SN - 0191-2216

VL - 1

SP - 982

EP - 988

JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

Y2 - 7 December 1999 through 10 December 1999

ER -

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

Abstract

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