Fernand Pelletier
On partial Dirac structure on a Banach manifolds and constraint dynamical systems
In finite dimension, the idea of interconnections, plays an essential role in modeling physical systems interacting with various energy fields, such as electro-mechanical systems bio-chemical reaction systems. For example, the interconnection of L-C circuits was shown to be represented by interconnexion of Dirac structures by Van der Schaft and Maschke (1995) and Bloch and Crouch (1997). Thus Dirac structure became the basic tool for modeling such complex systems not only in finite dimension but also in Hilbert and reflexive Banach setting. In the same way, Dirac structure gives rise to application in Banach sub-Riemannian geometry. This will be the purpose of this conference.