Scattering representations of Dirac structures for infinite dimensional network systems

Scattering is a well known phenomena in physics and engineering theory. Scattering within the framework of Hamiltonian systems has been naturally extended from finite dimensional systems to infinite dimensional systems by considering the power variables in a infinite dimensional space. Dirac structure is a geometric structure used for defining Hamiltonian systems. In this paper we present different scattering representations of Dirac structures on infinite dimensional spaces. Our analysis is a natural generalization of known results obtained for finite dimensional systems. The complete proofs of the results stated in this paper will be included in the journal version. The theory is illustrated by two examples of infinite dimensional network systems.