| 书目名称 | Hankel Norm Approximation for Infinite-Dimensional Systems |
| 编辑 | Amol Sasane |
| 视频video | |
| 概述 | Explicit solutions to the sub-optimal Hankel norm approximation problem are presented for the first time.Includes supplementary material: |
| 丛书名称 | Lecture Notes in Control and Information Sciences |
| 图书封面 |  |
| 描述 | 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. |
| 出版日期 | Book 2002 |
| 关键词 | Mathematica; distance; model; operator; complexity |
| 版次 | 1 |
| doi | https://doi.org/10.1007/3-540-45877-8 |
| isbn_softcover | 978-3-540-43327-9 |
| isbn_ebook | 978-3-540-45877-7Series ISSN 0170-8643 Series E-ISSN 1610-7411 |
| issn_series | 0170-8643 |
| copyright | Springer-Verlag Berlin Heidelberg 2002 |
发表于 2025-3-21 18:45:17
