Behavior of 1-port or n-port two-state networks under lossless reciprocal transformations is studied. Transformations include both those preserving and those not preserving the number of. terminal pairs. The group invariants and canonical forms are found, and their physical meaning is elucidated. The group invariants are viewed as the measure of change in performance and, therefore, may be used as the figure of merit when the two-state network is used as a switch, modulator, etc. Theorems are stated in both impedance-matrix and scattering matrix representations. These theorems make it possible to synthesize several two-state networks in an optimum way with respect to the number and figure of merit of "material" impedance pairs.
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