Willkommen, schön sind Sie da!
Logo Ex Libris

Hankel Norm Approximation for Infinite-Dimensional Systems

  • Kartonierter Einband
  • 148 Seiten
(0) Erste Bewertung abgeben
Bewertungen
(0)
(0)
(0)
(0)
(0)
Alle Bewertungen ansehen
Model reduction is an important engineering problem in which one aims to replace an elaborate model by a simpler model without und... Weiterlesen
CHF 150.00
Print on demand - Exemplar wird für Sie besorgt.
Kein Rückgaberecht!
Bestellung & Lieferung in eine Filiale möglich

Beschreibung

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 1970's, this book presents explicit solutions and, in particular, new formulae for several large classes of infinite-dimensional systems for the first time.

Explicit solutions to the sub-optimal Hankel norm approximation problem are presented for the first time



Inhalt
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.

Produktinformationen

Titel: Hankel Norm Approximation for Infinite-Dimensional Systems
Autor:
EAN: 9783540433279
ISBN: 978-3-540-43327-9
Format: Kartonierter Einband
Herausgeber: Springer, Berlin
Genre: Technik
Anzahl Seiten: 148
Gewicht: 252g
Größe: H240mm x B240mm
Jahr: 2002
Auflage: 2002

Weitere Produkte aus der Reihe "Lecture Notes in Control and Information Sciences"