Boundary Port Hamiltonian systems with a mov- ing interface : examples and properties

In this paper we shall consider a class of Distributed Parameter Systems defined as Boundary Port Hamiltonian Systems [2, 3] which spatial domain, assumed to be 1-dimensional, is splitted into subdomains separated by a moving interface. Such systems have been defined for systems of two conservation laws where it had been shown that one may define a extension of a Stokes-Dirac structure including the interface variables[1]. In this paper , we shall extend the definition to a higher number of conservation laws associated to conservative and dissipative systems and illustrate the deifinition with several examples; In a second instance, we shall analyze the passivity and system’s properties of this class of system and analyze different classes of of interface relations.