{ "id": "1708.05516", "version": "v1", "published": "2017-08-18T06:08:57.000Z", "updated": "2017-08-18T06:08:57.000Z", "title": "Numerical Algorithm for Optimal Control of Continuity Equations", "authors": [ "Nikolay Pogodaev" ], "categories": [ "math.OC" ], "abstract": "An optimal control problem for the continuity equation is considered. The aim of a controller is to maximize the total mass within a target set at a given type moment. An iterative numerical algorithm for solving this problem is presented.", "revisions": [ { "version": "v1", "updated": "2017-08-18T06:08:57.000Z" } ], "analyses": { "subjects": [ "49M05" ], "keywords": [ "continuity equation", "optimal control problem", "type moment", "total mass", "target set" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }