Extended Hamiltonian Pencil for passivity assessment and enforcement for S-parameter systems

An efficient algorithmbased on the Extended Hamiltonian Pencil was proposed in [1] for systems with hybrid representation. Here we further extend the Extended Hamiltonian Pencil method to systems described with scattering representation, i.e. S-parameter systems. The derivation of the Extended Hamiltonian Pencil for S-parameter systems is presented. Some properties that allow passivity enforcement based on eigenvalue displacement are reported. Experimental results demonstrate the effectiveness of the proposed method.