Unattainable region of power performance of Schlicht networks

There is an important class S of linear reciprocal passive networks `Schlicht¿ that do not repeat their performance for any two distant frequencies. Resistive-capacitive networks (RC) and resistive-inductive networks (RL) consititute the nucleus of the S family[1]. Subsequent to a normalisation of the system function, it is shown that there exists an unattainable zone of energy performance F for all Schlicht networks. The point describing the active-reactive power of any normalised member of S cannot penetrate the boundary of the region F for any real frequency. This universal region is specified. The paper presents a new area of interaction between electrical engineering and mathematical function theory.