On the geometrical structure of network equations

In the past, there have been several attempts to relate Hamiltonian equations, which describe conservative systems, to electrical networks. In control theory the ideas of Hamiltonian systems were expanded to affine Hamiltonian systems with feedback that are input/output systems with Hamiltonian vectorfields. In this paper the principles of affine Hamiltonian systems are applied to a class of electrical networks. It is shown that voltage and current coordinates admit a Poisson structure and how input/output Poisson systems with feedback are related to electrical networks