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タイトル
  • Duality of Singular Paths for (2,3,5)-Distributions
作成者

Ishikawa, Goo

Kitagawa, Yumiko

Yukuno, Wataru

権利情報
    • The final publication is available at Springer via http://dx.doi.org/10.1007/s10883-014-9216-9.
主題
  • Other Singular control
  • Other Cartan prolongation
  • Other Cone structure
  • NDC 410
内容注記
Other
  • 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.
出版者Springer/Prenum Publishers
日付 Issued 2015-04-01
言語eng
資源タイプjournal article
出版タイプAM
資源識別子 URI http://hdl.handle.net/2115/61071
関連
  • isIdenticalTo DOI https://doi.org/10.1007/s10883-014-9216-9
収録誌情報
    • ISSN 1079-2724
    • ISSN 1573-8698
    • Journal of dynamical and control systems
    21(2), 155-171
ファイル
コンテンツ更新日時2017-10-15T15:00:00Z