On the computation of the gap metric

Tryphon T. Georgiou

Research output: Contribution to journalConference articlepeer-review

22 Scopus citations

Abstract

The author considers the gap metric introduced by G. Zames and A.K. El-Sakkary (1980). He derives an expression for the gap metric that is computable using well-known techniques from interpolation theory. The author also derives an alternate proof that the graph and the gap matrices are equivalent. This gives rise to upper and lower bounds for the graph metric, which is difficult to evaluate exactly.

Original languageEnglish (US)
Pages (from-to)1360-1361
Number of pages2
JournalProceedings of the IEEE Conference on Decision and Control
StatePublished - 1988
EventProceedings of the 27th IEEE Conference on Decision and Control - Austin, TX, USA
Duration: Dec 7 1988Dec 9 1988

Bibliographical note

Funding Information:
* This research was supported in part by NSF under Grant No. ECS-8705291 and MIP-8708811.

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