Fikar, M., Kucera, V.: On minimum finite length control problem. Int. J. Control, 73(2), 152-158, 2000.

The article discusses a control problem when the manipulated variable is constrained to be a finite length sequence, i.e., it can modify the behaviour of the controlled system only in a limited number of steps and is zero afterwards. The basic criterion considered is to minimise the number of control steps or to minimise $\ell_2$ norm of the control signal. Open-loop and closed-loop formulations are presented.