タイトル |
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en
Duality of Singular Paths for (2,3,5)-Distributions
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作成者 |
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アクセス権 |
open access |
権利情報 |
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en
The final publication is available at Springer via http://dx.doi.org/10.1007/s10883-014-9216-9.
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主題 |
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Other
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Singular control
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Other
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Cartan prolongation
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Other
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Cone structure
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NDC
410
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内容注記 |
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Abstract
en
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.
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出版者 |
en
Springer/Prenum Publishers
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日付 |
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言語 |
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資源タイプ |
journal article |
出版タイプ |
AM |
資源識別子 |
HDL
http://hdl.handle.net/2115/61071
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関連 |
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isVersionOf
DOI
https://doi.org/10.1007/s10883-014-9216-9
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収録誌情報 |
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PISSN
1079-2724
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EISSN
1573-8698
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en
Journal of dynamical and control systems
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巻21
号2
開始ページ155
終了ページ171
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ファイル |
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コンテンツ更新日時 |
2023-07-26 |