Properties of descriptor systems arising from bond graph models

In this paper we first discuss the different assumptions used for the graphical analysis of dynamical systems arising from linear bond graph models. Secondly we propose a descriptor formulation of such dynamical systems defined by the constitutive relations of the elements and a basis set of constraint relations at the ports of the simple junction structure of a linear bond graph model. Finally we state that these systems verity the two fundamental properties: the rank identity and the dynamical degree identity.