State space formulae for the gap computation

Kentaro Hirata, Yutaka Yamamoto, Allen Tannenbaum

Research output: Chapter in Book/Report/Conference proceedingChapter

1 Citation (Scopus)

Abstract

It is widely recognized that the computation of the gap metric is equivalent to a two block H problem or the norm computation of a two block `Hankel+Toeplitz' operator. However, it can also be characterized as the smallest singular value of a certain Toeplitz operator. We show here a simple computational method for finding such singular value and the gap between two plants using a state space skew Toeplitz type approach.

Original languageEnglish
Title of host publicationProceedings of the IEEE Conference on Decision and Control
Editors Anon
Pages4585-4586
Number of pages2
Publication statusPublished - Dec 1 1996
Externally publishedYes
EventProceedings of the 35th IEEE Conference on Decision and Control. Part 4 (of 4) - Kobe, Jpn
Duration: Dec 11 1996Dec 13 1996

Publication series

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

Other

OtherProceedings of the 35th IEEE Conference on Decision and Control. Part 4 (of 4)
CityKobe, Jpn
Period12/11/9612/13/96

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modelling and Simulation
  • Control and Optimization

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  • Cite this

    Hirata, K., Yamamoto, Y., & Tannenbaum, A. (1996). State space formulae for the gap computation. In Anon (Ed.), Proceedings of the IEEE Conference on Decision and Control (pp. 4585-4586). (Proceedings of the IEEE Conference on Decision and Control; Vol. 4).