The dynamic programming algorithm refers to the Bellman equation. An open-loop control decides movement at the initial point while a closed-loop control decides control during the movement. Now most robotic application looks like closed-loop control: in every point, it checks how it is doing with respect to some reward function, this is my thinking. Now most participants in threads such as How mature is real-time programming in robotics? do not differentiate their scope, perhaps they haven't thought about it. Anyway, I am interested to know:
How is dynamic programming used in robotics? Is there any research about DP usage in robotics?