In most systems there is some sort of damping, but is it possible to develop a controller that works efficiently in a system with no damping? For example, imagine tracking the position of a linear cart moving on a track with no friction. Would it be possible to design a controller to supply a force to the cart at the start, turn off, and then apply a force when needed in the opposite direction to bring the car to a complete stop with little to zero overshoot? This somewhat resembles a critically damped controller, except for the middle part when no force is applied and the car is coasting without the effect of friction. If anyone knows any websites or books that would help it would be greatly appreciated, thanks!