  We analyse the theory of consistent approximations given by Polak and we use
it in an impulsive optimal control problem. We reparametrize the original
system and build consistent approximations for this new reparametrized problem.
So, we prove that if a sequence of solution of the consistent approximations is
converging, it will converge to a solution of the reparametrized problem, and,
finally, we show that from a solution of the reparametrized problem we can find
a solution of the original one.
