Speaker
Falk Hante
Description
We explore ideas drawn from discrete optimization and domain decomposition to solve necessary optimality conditions given by Pontryagin's Principle, specifically when applied to non-convex optimal control problems. By leveraging these concepts, we aim to identify potential advantages compared to classical solution approaches and demonstrate practical applications for mixed-integer optimal control problems. Notably, these types of problems frequently arise for example in natural gas or hydrogen transport networks utilizing pipelines. We present convergence results for linear-quadratic problems with mixed-integer constraints and discuss extensions towards a broader class of objectives and system dynamics.
