The role of symplectic integrators in optimal control
The role of symplectic integrators in optimal control
Abstract For general optimal control problems, Pontryagin's maximum principle gives necessary optimality conditions, which are in the form of a Hamiltonian differential equation. For its numerical integration, symplectic methods are a natural choice. This article investigates to which extent the excellent performance of symplectic integrators for longātime integrations in astronomy ā¦