Invariance of the second order modes of continuous time systems under frequency transformation using reactance function

摘要

In this paper, we discuss the invariance of the second-order modes of a continuous-time system under frequency transformations using improper reactance functions. The Lowpass-Highpass and the Lowpass-Bandstop frequency transformations belong to those transformations. We show that the second-order modes are always invariant under frequency transformations using improper reactance functions.