rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Hankel norm approximation for infinite-dimensional systems
  name:
    name part: Sasane, A. (Amol)
    name part: 1976-
    role:
      role term: creator
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: gw
    date issued: 2002
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (viii, 142 pages) : illustrations.
  abstract: Model reduction is an important engineering problem in which one aims to replace an elaborate model by a simpler model without undue loss of accuracy. The accuracy can be mathematically measured in several possible norms and the Hankel norm is one such. The Hankel norm gives a meaningful notion of distance between two linear systems: roughly speaking, it is the induced norm of the operator that maps past inputs to future outputs. It turns out that the engineering problem of model reduction in the Hankel norm is closely related to the mathematical problem of finding solutions to the sub-optimal Nehari-Takagi problem, which is called "the sub-optimal Hankel norm approximation problem" in this book. Although the existence of a solution to the sub-optimal Hankel norm approximation problem has been known since the 1970s, this book presents explicit solutions and, in particular, new formulae for several large classes of infinite-dimensional systems for the first time.
  table of contents: Introduction -- Classes of well-posed linear systems -- Compactness and nuclearity of Hankel operators -- Characterization of all solutions -- State space solutions -- The non-exponentially stable case -- The case of regular linear systems -- Coda.
  note: A. Sasane.
  note: Electronic resource.
  note: Includes bibliographical references (pages [131]-137) and index.
  subject:
    topic: Hankel operators
  subject:
    topic: Automatic control
  subject:
    topic: Control theory
  subject:
    topic: Commande automatique
  subject:
    topic: Commande, Théorie de la
  subject:
    topic: Hankel, Opérateurs de
  subject:
    topic: Automatic control
  subject:
    topic: Control theory
  subject:
    topic: Hankel operators
  classification: QA329.6 .S38 2002
  classification: 515/.723
  classification: 31.46
  classification: 50.22
  classification: 54.54
  related item:
    title info:
      title: Hankel norm approximation for infinite-dimensional systems
    identifier: (OCoLC)49326904
  related item:
    title info:
      title: Lecture notes in control and information sciences ; 277
  identifier: 9783540458777 (electronic bk.)
  identifier: 3540458778 (electronic bk.)
  identifier: 3540433279
  identifier: 9783540433279
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: COO
    record creation date: 020312
    record change date: 20260420212853.6
    record identifier: in00003515353
    language of cataloging:
      language term: eng