A Hamiltonian-based solution to the two-block H problem for general plants in H and rational weights

Kentaro Hirata, Yutaka Yamamoto, Allen R. Tannenbaum

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)


A complete skew-Toeplitz-type solution to the two-block H problem for infinite-dimensional stable plants with rational weights is derived with a basis-free proof. The solution consists of one Riccati equation with a rank criterion for a transcendental function of a certain Hamiltonian. This gives a natural extension of the well-known formula for the one-block case. An example is given to illustrate the result.

Original languageEnglish
Pages (from-to)83-95
Number of pages13
JournalSystems and Control Letters
Issue number2
Publication statusPublished - Jun 15 2000
Externally publishedYes


  • Distributed systems
  • H control
  • Optimal sensitivity
  • Skew-Toeplitz theory
  • Two-block problem

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science(all)
  • Mechanical Engineering
  • Electrical and Electronic Engineering


Dive into the research topics of 'A Hamiltonian-based solution to the two-block H<sup>∞</sup> problem for general plants in H<sup>∞</sup> and rational weights'. Together they form a unique fingerprint.

Cite this