{ "id": "1606.05803", "version": "v1", "published": "2016-06-18T20:36:24.000Z", "updated": "2016-06-18T20:36:24.000Z", "title": "Solvable cases of optimal control problems for integral equations", "authors": [ "S. A. Belbas", "W. H. Schmidt" ], "categories": [ "math.OC" ], "abstract": "We present a number of cases of optimal control of Volterra and Fredholm integral equations that are solvable in the sense that the problem can be reduced to a solvable integral equation. This is conceptually analogous to the role of the Riccati differential system in the optimal control of ordinary differential equations.", "revisions": [ { "version": "v1", "updated": "2016-06-18T20:36:24.000Z" } ], "analyses": { "subjects": [ "93C30", "45B05", "45D05" ], "keywords": [ "optimal control problems", "solvable cases", "ordinary differential equations", "riccati differential system", "fredholm integral equations" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }