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CDC
2010
IEEE

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

10 years 6 months ago
Stokes-Dirac structures through reduction of infinite-dimensional Dirac structures
Abstract-- 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.
Joris Vankerschaver, Hiroaki Yoshimura, Melvin Leo
Added 13 May 2011
Updated 13 May 2011
Type Journal
Year 2010
Where CDC
Authors Joris Vankerschaver, Hiroaki Yoshimura, Melvin Leok, Jerrold E. Marsden
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