{"ID":2882374,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2508.10692","arxiv_id":"2508.10692","title":"A trust-region method for optimal control of ODEs with continuous-or-off controls and TV regularization","abstract":"A solution algorithm for a special class of optimal control problems subject to an ordinary differential equation is proposed. The controls possess a continuous-or-off structure and are priced by a convex function. Additionally, a total variation regularization is applied to penalize switches. Our solution method combines a trust-region method and a proximal gradient method. The subproblems are solved via Bellman's optimality principle. Convergence with respect to a criticality measure is proven. As a numerical example, we solve a simple optimal control problem involving an SIR model.","short_abstract":"A solution algorithm for a special class of optimal control problems subject to an ordinary differential equation is proposed. The controls possess a continuous-or-off structure and are priced by a convex function. Additionally, a total variation regularization is applied to penalize switches. Our solution method combi...","url_abs":"https://arxiv.org/abs/2508.10692","url_pdf":"https://arxiv.org/pdf/2508.10692v2","authors":"[\"Markus Friedemann\",\"Gerd Wachsmuth\"]","published":"2025-08-14T14:36:36Z","proceeding":"math.OC","tasks":"[\"math.OC\"]","methods":"[\"Large Language Model\"]","has_code":false}