Name: hankel norm approximation for infinite-dimensional systems (en Inglés)
Price: 114.52 USD
Availability: InStock
Author: sasane
ISBN: 9783540433279

portada hankel norm approximation for infinite-dimensional systems (en Inglés)

hankel norm approximation for infinite-dimensional systems (en Inglés)

Formato

Libro Físico

Editorial

Springer

Autor

sasane

Idioma

Inglés

N° páginas

144

ISBN

3540433279

ISBN13

9783540433279

Categorías

Matemáticas aplicadas

hankel norm approximation for infinite-dimensional systems (en Inglés)

Sasane (Autor) · Springer · Libro Físico

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Reseña del libro "hankel norm approximation for infinite-dimensional systems (en Inglés)"

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.