Some remarks on Hamiltonians and the infinite-dimensional one block H∞ problem

Yutaka Yamamoto, Kentaro Hirata, Allen Tannenbaum

Research output: Contribution to journal › Article

19 Citations (Scopus)

Abstract

In this note, a simple proof is given for the Hamiltonian solution to the H∞ optimal sensitivity for plants with arbitrary inner transfer function. The approach combines skew Toeplitz theory and state-space representations, and gives rise to a straightforward and basis-free methodology.

Original languageEnglish
Pages (from-to)111-117
Number of pages7
JournalSystems and Control Letters
Volume29
Issue number2
DOIs
Publication statusPublished - Oct 21 1996
Externally publishedYes

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Hamiltonians
Transfer functions

Keywords

  • Distributed systems
  • H control
  • Optimal sensitivity
  • Skew Toeplitz theory

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

Cite this

Some remarks on Hamiltonians and the infinite-dimensional one block H∞ problem. / Yamamoto, Yutaka; Hirata, Kentaro; Tannenbaum, Allen.

In: Systems and Control Letters, Vol. 29, No. 2, 21.10.1996, p. 111-117.

Research output: Contribution to journal › Article

Yamamoto, Y, Hirata, K & Tannenbaum, A 1996, 'Some remarks on Hamiltonians and the infinite-dimensional one block H∞ problem', Systems and Control Letters, vol. 29, no. 2, pp. 111-117. https://doi.org/10.1016/S0167-6911(96)00053-9
Yamamoto Y, Hirata K, Tannenbaum A. Some remarks on Hamiltonians and the infinite-dimensional one block H∞ problem. Systems and Control Letters. 1996 Oct 21;29(2):111-117. https://doi.org/10.1016/S0167-6911(96)00053-9
Yamamoto, Yutaka ; Hirata, Kentaro ; Tannenbaum, Allen. / Some remarks on Hamiltonians and the infinite-dimensional one block H∞ problem. In: Systems and Control Letters. 1996 ; Vol. 29, No. 2. pp. 111-117.
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