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

Yutaka Yamamoto; Kentaro Hirata; Allen Tannenbaum

doi:10.1016/S0167-6911(96)00053-9

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 language	English
Pages (from-to)	111-117
Number of pages	7
Journal	Systems and Control Letters
Volume	29
Issue number	2
DOIs	https://doi.org/10.1016/S0167-6911(96)00053-9
Publication status	Published - Oct 21 1996
Externally published	Yes

Keywords

Distributed systems
H control
Optimal sensitivity
Skew Toeplitz theory

ASJC Scopus subject areas

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

Access to Document

10.1016/S0167-6911(96)00053-9

Fingerprint Dive into the research topics of 'Some remarks on Hamiltonians and the infinite-dimensional one block H<sup>∞</sup> problem'. Together they form a unique fingerprint.

Cite this

Yamamoto, Y., Hirata, K., & Tannenbaum, A. (1996). Some remarks on Hamiltonians and the infinite-dimensional one block H^∞ problem. Systems and Control Letters, 29(2), 111-117. https://doi.org/10.1016/S0167-6911(96)00053-9

@article{08feef4297d240d3bf299cba9008c8df,

title = "Some remarks on Hamiltonians and the infinite-dimensional one block H∞ problem",

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.",

keywords = "Distributed systems, H control, Optimal sensitivity, Skew Toeplitz theory",

author = "Yutaka Yamamoto and Kentaro Hirata and Allen Tannenbaum",

year = "1996",

month = oct,

day = "21",

doi = "10.1016/S0167-6911(96)00053-9",

language = "English",

volume = "29",

pages = "111--117",

journal = "Systems and Control Letters",

issn = "0167-6911",

publisher = "Elsevier",

number = "2",

}

TY - JOUR

T1 - Some remarks on Hamiltonians and the infinite-dimensional one block H∞ problem

AU - Yamamoto, Yutaka

AU - Hirata, Kentaro

AU - Tannenbaum, Allen

PY - 1996/10/21

Y1 - 1996/10/21

N2 - 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.

AB - 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.

KW - Distributed systems

KW - H control

KW - Optimal sensitivity

KW - Skew Toeplitz theory

UR - http://www.scopus.com/inward/record.url?scp=0342621752&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0342621752&partnerID=8YFLogxK

U2 - 10.1016/S0167-6911(96)00053-9

DO - 10.1016/S0167-6911(96)00053-9

M3 - Article

AN - SCOPUS:0342621752

VL - 29

SP - 111

EP - 117

JO - Systems and Control Letters

JF - Systems and Control Letters

SN - 0167-6911

IS - 2

ER -