Upper and lower bounds for approximation in the gap metric

Tryphon T. Georgiou, Malcolm C. Smith

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Scopus citations

Abstract

The authors establish upper and lower bounds for the closest approximant of degree k < n in the gap metric to a plant of degree n. The bounds are expressed in terms of the singular values of two Hankel operators defined from the symbol of the graph of the plant. The question of robust stability and performance of feedback systems is examined in the context of approximation of plant and controller in the gap metric.

Original languageEnglish (US)
Title of host publicationProceedings of the IEEE Conference on Decision and Control
PublisherPubl by IEEE
Pages2262-2267
Number of pages6
ISBN (Print)0780304500
StatePublished - Dec 1 1991
EventProceedings of the 30th IEEE Conference on Decision and Control Part 1 (of 3) - Brighton, Engl
Duration: Dec 11 1991Dec 13 1991

Publication series

NameProceedings of the IEEE Conference on Decision and Control
Volume3
ISSN (Print)0191-2216

Other

OtherProceedings of the 30th IEEE Conference on Decision and Control Part 1 (of 3)
CityBrighton, Engl
Period12/11/9112/13/91

Fingerprint Dive into the research topics of 'Upper and lower bounds for approximation in the gap metric'. Together they form a unique fingerprint.

Cite this