Stokes-Dirac structures through reduction of infinite-dimensional Dirac structures

Joris Vankerschaver*, Hiroaki Yoshimura, Melvin Leok, Jerrold E. Marsden

*この研究の対応する著者

研究成果: Conference contribution

9 被引用数 (Scopus)

抄録

We consider the concept of Stokes-Dirac structures in boundary control theory proposed by van der Schaft and Maschke. We introduce Poisson reduction in this context and show how Stokes-Dirac structures can be derived through symmetry reduction from a canonical Dirac structure on the unreduced phase space. In this way, we recover not only the standard structure matrix of Stokes-Dirac structures, but also the typical non-canonical advection terms in (for instance) the Euler equation.

本文言語English
ホスト出版物のタイトル2010 49th IEEE Conference on Decision and Control, CDC 2010
出版社Institute of Electrical and Electronics Engineers Inc.
ページ6265-6270
ページ数6
ISBN(印刷版)9781424477456
DOI
出版ステータスPublished - 2010
イベント49th IEEE Conference on Decision and Control, CDC 2010 - Atlanta, United States
継続期間: 2010 12月 152010 12月 17

出版物シリーズ

名前Proceedings of the IEEE Conference on Decision and Control
ISSN(印刷版)0743-1546
ISSN(電子版)2576-2370

Conference

Conference49th IEEE Conference on Decision and Control, CDC 2010
国/地域United States
CityAtlanta
Period10/12/1510/12/17

ASJC Scopus subject areas

  • 制御およびシステム工学
  • モデリングとシミュレーション
  • 制御と最適化

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