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Duality of Singular Paths for (2,3,5)-Distributions
| Title: | Duality of Singular Paths for (2,3,5)-Distributions |
| Authors: | Ishikawa, Goo Browse this author →KAKEN DB | | Kitagawa, Yumiko Browse this author | | Yukuno, Wataru Browse this author |
| Keywords: | Singular control | | Cartan prolongation | | Cone structure |
| Issue Date: | 1-Apr-2015 |
| Publisher: | Springer/Prenum Publishers |
| Journal Title: | Journal of dynamical and control systems |
| Volume: | 21 |
| Issue: | 2 |
| Start Page: | 155 |
| End Page: | 171 |
| Publisher DOI: | 10.1007/s10883-014-9216-9 |
| Abstract: | We show a duality which arises from distributions of Cartan type, having growth (2, 3, 5), from the viewpoint of geometric control theory. In fact, we consider the space of singular (or abnormal) paths on a given five-dimensional space endowed with a Cartan distribution, which form another five-dimensional space with a cone structure. We regard the cone structure as a control system and show that the space of singular paths of the cone structure is naturally identified with the original space. Moreover, we observe an asymmetry on this duality in terms of singular paths. |
| Rights: | The final publication is available at Springer via http://dx.doi.org/10.1007/s10883-014-9216-9. |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/61071 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 石川 剛郎
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