{ "id": "1303.2486", "version": "v1", "published": "2013-03-11T11:15:29.000Z", "updated": "2013-03-11T11:15:29.000Z", "title": "A Nonsmooth Maximum Principle for Optimal Control Problems with State and Mixed Constraints-Convex Case", "authors": [ "Md. Haider Ali Biswas", "Maria do Rosario de Pinho" ], "comment": "Published in 'Discrete and Continuous Dynamical Systems, Vol. 2011, pp. 174-183", "categories": [ "math.OC" ], "abstract": "Here we derive a nonsmooth maximum principle for optimal control problems with both state and mixed constraints. Crucial to our development is a convexity assumption on the \"velocity set\". The approach consists of applying known penalization techniques for state constraints together with recent results for mixed constrained problems.", "revisions": [ { "version": "v1", "updated": "2013-03-11T11:15:29.000Z" } ], "analyses": { "subjects": [ "49K15", "49K30", "34A60" ], "keywords": [ "optimal control problems", "nonsmooth maximum principle", "mixed constraints-convex case", "convexity assumption", "velocity set" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1303.2486B" } } }