Conditions on Polynomials Involved in Admittance Functions Passively Realizable by Using RLC and Two Fractional Elements

摘要

This brief deals with finding the necessary conditions which should be met by the polynomials appeared in the admittance functions passively realizable by using RLC components and two fractional elements. These conditions include structurally necessary equalities/specifications and positive-realness-based inequalities which should be satisfied by the involved polynomials. In the realizable cases, the acceptable region for choosing the pseudo inductances/capacitances of fractional elements is found from the obtained conditions.