Hankel norm computation for infinite-dimensional H model matching problems

Armando Rodriguez, Munther A. Dahleh, Shawn H. Mahloch

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

1 Citation (Scopus)

Abstract

This paper considers the problem of computing the induced L2 norm for Hankel operators which are not necessarily compact. In the literature such a norm has traditionally been computed by attempting to solve a complex infinite-dimensional eigenvalue-eigenfunction problem. In this paper, it is shown that a sequence of simple finite-dimensional eigenvalue-eigenvector problems can be solved to estimate the desired induced norm.

Original languageEnglish (US)
Title of host publicationProceedings of the American Control Conference
Place of PublicationGreen Valley, AZ, United States
PublisherPubl by American Automatic Control Council
Pages2134-2138
Number of pages5
Volume3
ISBN (Print)0780302109
StatePublished - 1992
EventProceedings of the 1992 American Control Conference - Chicago, IL, USA
Duration: Jun 24 1992Jun 26 1992

Other

OtherProceedings of the 1992 American Control Conference
CityChicago, IL, USA
Period6/24/926/26/92

Fingerprint

Eigenvalues and eigenfunctions

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

Rodriguez, A., Dahleh, M. A., & Mahloch, S. H. (1992). Hankel norm computation for infinite-dimensional H model matching problems. In Proceedings of the American Control Conference (Vol. 3, pp. 2134-2138). Green Valley, AZ, United States: Publ by American Automatic Control Council.

Hankel norm computation for infinite-dimensional H model matching problems. / Rodriguez, Armando; Dahleh, Munther A.; Mahloch, Shawn H.

Proceedings of the American Control Conference. Vol. 3 Green Valley, AZ, United States : Publ by American Automatic Control Council, 1992. p. 2134-2138.

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

Rodriguez, A, Dahleh, MA & Mahloch, SH 1992, Hankel norm computation for infinite-dimensional H model matching problems. in Proceedings of the American Control Conference. vol. 3, Publ by American Automatic Control Council, Green Valley, AZ, United States, pp. 2134-2138, Proceedings of the 1992 American Control Conference, Chicago, IL, USA, 6/24/92.
Rodriguez A, Dahleh MA, Mahloch SH. Hankel norm computation for infinite-dimensional H model matching problems. In Proceedings of the American Control Conference. Vol. 3. Green Valley, AZ, United States: Publ by American Automatic Control Council. 1992. p. 2134-2138
Rodriguez, Armando ; Dahleh, Munther A. ; Mahloch, Shawn H. / Hankel norm computation for infinite-dimensional H model matching problems. Proceedings of the American Control Conference. Vol. 3 Green Valley, AZ, United States : Publ by American Automatic Control Council, 1992. pp. 2134-2138
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