New Lagrangian and Hamiltonian functions for linear dissipative physical systems with ideal drivers

A new potential function is derived for dissipative physical systems with ideal drivers. The Lagrangian thus formulated satisfies the Euler-Lagrange equation, and the Hamiltonian thus derived satisfies the canonical-form Euler-Lagrange equation. State models can be obtained from a given system graph and vice versa if the state model is realizable.