{ "id": "2211.08083", "version": "v1", "published": "2022-11-15T12:09:58.000Z", "updated": "2022-11-15T12:09:58.000Z", "title": "Robust control of systems with hyperbolic partial differential equations", "authors": [ "Pierre Apkarian", "Dominikus Noll" ], "comment": "25 pages, 18 figures", "categories": [ "math.OC" ], "abstract": "We discuss strategies to bring $H_\\infty$-control techniques into play when the system dynamics are modeled by hyperbolic partial differential equations, or more generally, by systems with non-sectorial pole pattern.", "revisions": [ { "version": "v1", "updated": "2022-11-15T12:09:58.000Z" } ], "analyses": { "subjects": [ "93B36", "93B52", "93C20", "90C56", "90C90" ], "keywords": [ "hyperbolic partial differential equations", "robust control", "control techniques", "system dynamics", "strategies" ], "note": { "typesetting": "TeX", "pages": 25, "language": "en", "license": "arXiv", "status": "editable" } } }