Lomadze, V; Ravi, M S; Rosenthal, J; Schumacher, J M (1998). A behavioral approach to singular systems. Acta Applicandae Mathematicae, 54(3):331-344.
The notion of behaviors introduced by Willems gives a good description of dynamicalsystems without reference to any particular representation of the system in terms of equations. Inthis note, we introduce a notion of behaviors that allows us to describe singular systems in a verynatural way. The new definition of behaviors given here is closely related to that of a sheaf overthe projective line, and we make this connection precise.
The notion of behaviors introduced by Willems gives a good description of dynamicalsystems without reference to any particular representation of the system in terms of equations. Inthis note, we introduce a notion of behaviors that allows us to describe singular systems in a verynatural way. The new definition of behaviors given here is closely related to that of a sheaf overthe projective line, and we make this connection precise.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Applied Mathematics |
| Uncontrolled Keywords: | behaviors - singular systems - shift spaces - coherent sheaves |
| Language: | English |
| Date: | 1998 |
| Deposited On: | 29 Nov 2010 16:28 |
| Last Modified: | 03 Dec 2023 02:41 |
| Publisher: | Springer |
| ISSN: | 0167-8019 |
| Additional Information: | The original publication is available at www.springerlink.com |
| OA Status: | Closed |
| Publisher DOI: | https://doi.org/10.1023/A:1006106222280 |
| Related URLs: | http://www.ams.org/mathscinet-getitem?mr=1671791 http://www.zentralblatt-math.org/zbmath/search/?q=an%3A0916.93008 |
Lomadze, V