Abstract
| Original language | Undefined |
|---|---|
| Title of host publication | Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems |
| Editors | Y Yamamoto |
| Place of Publication | Kyoto |
| Publisher | Erasmus University Rotterdam |
| Pages | 27-32 |
| Number of pages | 6 |
| ISBN (Print) | not assigned |
| Publication status | Published - 28 Jul 2006 |
| Event | 17th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2006 - Kyoto, Japan Duration: 24 Jul 2006 → 28 Jul 2006 Conference number: 17 |
Publication series
| Name | |
|---|---|
| Number | supplement |
Conference
| Conference | 17th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2006 |
|---|---|
| Abbreviated title | MTNS |
| Country | Japan |
| City | Kyoto |
| Period | 24/07/06 → 28/07/06 |
Keywords
- MSC-93C25
- MSC-46C20
- IR-66606
- METIS-237614
- EWI-8148
Cite this
}
Composition of infinite-dimensional Dirac structures. / Kurula, Mikael; van der Schaft, Arjan; Zwart, Heiko J.
Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems. ed. / Y Yamamoto. Kyoto : Erasmus University Rotterdam, 2006. p. 27-32.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review
TY - GEN
T1 - Composition of infinite-dimensional Dirac structures
AU - Kurula, Mikael
AU - van der Schaft, Arjan
AU - Zwart, Heiko J.
PY - 2006/7/28
Y1 - 2006/7/28
N2 - In this paper, we define the Dirac structure and give some fundamental tools for its study.We then proceed by defining composition of ``split Dirac structures''. In the finite-dimensional case, composition of two Dirac structures always result in a new Dirac structure, but in the Hilbert space setting this result no longer holds. Thus, the problem of finding necessary and sufficient conditions for the composition of two infinite-dimensional Dirac structures to itself be a Dirac structure arises very naturally. The main result of this paper provides these necessary and sufficient conditions. In addition, we give examples and relate conposition of Dirac structures to the Redheffer star product of unitary operators.
AB - In this paper, we define the Dirac structure and give some fundamental tools for its study.We then proceed by defining composition of ``split Dirac structures''. In the finite-dimensional case, composition of two Dirac structures always result in a new Dirac structure, but in the Hilbert space setting this result no longer holds. Thus, the problem of finding necessary and sufficient conditions for the composition of two infinite-dimensional Dirac structures to itself be a Dirac structure arises very naturally. The main result of this paper provides these necessary and sufficient conditions. In addition, we give examples and relate conposition of Dirac structures to the Redheffer star product of unitary operators.
KW - MSC-93C25
KW - MSC-46C20
KW - IR-66606
KW - METIS-237614
KW - EWI-8148
M3 - Conference contribution
SN - not assigned
SP - 27
EP - 32
BT - Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems
A2 - Yamamoto, Y
PB - Erasmus University Rotterdam
CY - Kyoto
ER -