Reactance Theorem for Time Modulated Networks

Abstract

Foster's reactance theorem is one of the most important theorems of network analysis, dictating the analytical properties of impedance or admittance functions of passive, linear and time-invariant networks. Due to its generality, Foster's reactance theorem is a starting point for deriving other fundamental results, like the Bode-Fano criterion. Here, we show how this fundamental result can be extended to time-modulated networks and discuss the conditions under which it can be broken.