Scaling of linear time-varying networks, passivity, and losslessness

The effect on the individual elements of a linear time-varying
r/cT
network resulting from multiplying its nonanticipatory impedance
z(t,\tau)
by a function
m(t)n(\tau)
is considered. Conditions on the multiplying function to conserve passivity and/or losslessness are found. Although the impedance
z(t,\tau)
considered in this paper will represent a one-port network, most of the results obtained can be easily extended to
n
-ports.