Yesterday I asked a question about LTV Systems and how the impulse response h(t,t0) is found.
I was thinking about it and realized there is a subsclass of LTV systems which I call Linear Linearly Time Varying Systems for which this relations holds if $t_{o}=at_{1}+bt_{2}\rightarrow h(t,t_{0}) = h(t,at_{1})+h(t,bt_{2})$.This means that if we know the impulse response of such a system at $t_{0}$ we can predict which impulse response will be at $t_{3} = ct_{0}$.Which other cool properties do these systems have?