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

An efficient algorithm based on the Extended Hamiltonian Pencil was proposed in 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.