Interpolation by polynomials with nonnegative coefficients

Murk J. Bottema, Mark E. Halpern, William Moran

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

2 Citations (Scopus)

Abstract

We consider the problem of determining whether a polynomial of a given order and having only nonnegative coefficients can be found to interpolate a given set of positive data. This problem arises in the design of maximally robust integrating feedback controllers for linear discrete-time plants and is also relevant to the design of nonovershooting control systems. We present an algorithm for determining whether such a polynomial exists for given interpolation data.

Original languageEnglish
Title of host publicationProceedings of the IEEE Conference on Decision and Control
Place of PublicationPiscatawy, NJ, USA
Pages2884-2889
Number of pages6
DOIs
Publication statusPublished - 1996
Event35th IEEE Conference on Decision and Control -
Duration: 11 Dec 199613 Dec 1996

Publication series

NameProceedings of the IEEE Conference on Decision and Control
Volume4
ISSN (Print)0191-2216

Conference

Conference35th IEEE Conference on Decision and Control
Period11/12/9613/12/96

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