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

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

研究成果: Conference contribution

8 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
ページ6265-6270
ページ数6
DOI
出版ステータスPublished - 2010
イベント2010 49th IEEE Conference on Decision and Control, CDC 2010 - Atlanta, GA, United States
継続期間: 2010 12 152010 12 17

出版物シリーズ

名前Proceedings of the IEEE Conference on Decision and Control
ISSN(印刷版)0191-2216

Conference

Conference2010 49th IEEE Conference on Decision and Control, CDC 2010
CountryUnited States
CityAtlanta, GA
Period10/12/1510/12/17

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modelling and Simulation
  • Control and Optimization

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