Problem 7
(a) Show that if a system is either
additive or homogenous , it has the property that if
the input is identically zero, then the output is
also identically zero.
(b) Determine a system (either
in continuous or discrete time) that is neither
additive nor homogeneous but which has zero output
if the input is identically zero .
(c) From part (a) , can you conclude
that if the input to a linear system is zero between
times t1 and t2 in continuous time or between
times n1 and n2 in discrete time, then its output must
also be zero between these same times ? Explain your
answer. |