New research unlocks solutions for complex control problems with unbounded costs.
The article explores how to solve complex control problems for nonlinear systems using Bellman equations. By defining unique solution trajectories for each input, the researchers identify the value functions as the only solutions to these equations. They show that the value function for the Fuller Problem is the only solution among functions starting at zero. This approach has been used by many researchers to tackle various optimal control problems and games, even when the value function is not continuous.