In this master thesis the problem of stabilizability for linear
time-variant discrete systems witch bounded systemmatrices is studied. It
is shown, that like in the time-invariant case complete controllability to
zero is sufficient for asymptotic stabilizability by linear feedback. Also
it is possible to assign an arbitrary Lyapunov exponent by linear feedback,
if the system is completely controllable to zero. This is proofed with
finite cost conditions. The difference, if a system is asymptotic
stabilizable or uniform asymptotic stabilizable, is then a question,
whether the finite cost condition uniformely satisfied in the initial time
or not.