Rosenthal, J (2005). The Hermann-Martin curve. In: Dayawansa, W P; Lindquist, A; Zhou, Y. New directions and applications in control theory. Berlin: Springer, 353-365.
Every linear system can be naturally identified with a rational curve in a Grassmann variety. The associated curve is often referred to as the Hermann-Martin curve of the system. “This article explains this crucial link between systems theory and geometry. The geometric translation
also provides important tools when studying control design problems. In the second part of the article, it is shown howit is possible to tackle some important control design problems by geometric means.
Every linear system can be naturally identified with a rational curve in a Grassmann variety. The associated curve is often referred to as the Hermann-Martin curve of the system. “This article explains this crucial link between systems theory and geometry. The geometric translation
also provides important tools when studying control design problems. In the second part of the article, it is shown howit is possible to tackle some important control design problems by geometric means.
| Item Type: | Book Section, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Social Sciences & Humanities > Library and Information Sciences |
| Language: | English |
| Date: | 2005 |
| Deposited On: | 10 Apr 2009 08:11 |
| Last Modified: | 23 Jan 2022 13:59 |
| Publisher: | Springer |
| Series Name: | Lecture notes in control and information sciences |
| Number: | 321 |
| ISSN: | 0170-8643 |
| ISBN: | 978-3-540-23953-6 |
| Additional Information: | Conference in Honor of Clyde Martins 60th Birthday on New Directions and Applications in Control Theory, Lubbock, TX, NOV 14-15, 2003 |
| OA Status: | Closed |
| Publisher DOI: | https://doi.org/10.1007/10984413_22 |
| Related URLs: | http://www.ams.org/mathscinet-getitem?mr=2181477 |
Rosenthal, J