Computation of the singular values of Toeplitz operators and the gap metric

Kentaro Hirata, Yutaka Yamamoto, Allen Tannenbaum

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

It is widely recognized that the computation of gap metric is equivalent to a certain two-block H problem, i.e., the gap is equal to the norm of a certain two-block operator. However, it can also be characterized as the smallest singular value of a certain Toeplitz operator. This paper derives a simple computational method for finding such singular values and the gap between two plants by using a state space approach.

Original languageEnglish
Pages (from-to)327-338
Number of pages12
JournalSystems and Control Letters
Volume36
Issue number5
Publication statusPublished - Apr 23 1999
Externally publishedYes

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Computational methods
Mathematical operators

Keywords

  • Gap metric
  • Hamiltonian
  • Skew Toeplitz theory
  • Toeplitz operator
  • Two-block problem

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

Cite this

Computation of the singular values of Toeplitz operators and the gap metric. / Hirata, Kentaro; Yamamoto, Yutaka; Tannenbaum, Allen.

In: Systems and Control Letters, Vol. 36, No. 5, 23.04.1999, p. 327-338.

Research output: Contribution to journalArticle

Hirata, Kentaro ; Yamamoto, Yutaka ; Tannenbaum, Allen. / Computation of the singular values of Toeplitz operators and the gap metric. In: Systems and Control Letters. 1999 ; Vol. 36, No. 5. pp. 327-338.
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