Synthesis of Positive-Real Functions with Low-Complexity Series-Parallel Networks

The purpose of this paper is to continue to develop the recently introduced concept of a regular positivereal function and its application to the classification of lowcomplexity two-terminal networks. This paper studies five-and six-element series-parallel networks with three reactive elements and presents a complete characterisation and graphical representation of the realisability conditions for these networks. The results are motivated by an approach to passive mechanical control which makes use of the inerter device.