Section: Partnerships and Cooperations
Optimal control consists in steering a system from an initial configuration to a final one, while minimizing some given cost criterion. One of the current main challenges is to develop innovative methods for computing global solutions. This is crucial for applications where validating the global control laws is a crucial but a highly time consuming and expensive phase. GAMMA focuses on the wide range of optimal control problems having an algebraic structure, involving for instance polynomial or semi-algebraic dynamics and costs, or switches between polynomial models. In this case, GAMMA aims at designing methods relying on algebraic computations to the mainstream shooting method in order to yield optimal solutions that purely numerical techniques cannot provide.