{ "id": "math/0008083", "version": "v1", "published": "2000-08-11T12:13:20.000Z", "updated": "2000-08-11T12:13:20.000Z", "title": "Asymptotic behavior of Patil's approximants in Hardy spaces : The real case", "authors": [ "Gomari Buanani Naufal" ], "comment": "15 pages, 1 figure, thesis", "categories": [ "math.CV", "math.OC" ], "abstract": "In this paper we consider a robust identification problem for a linear dynamical control system with limited-frequency intervals. In mathematical terms, this is the problem of recovering functions in Hardy spaces. Our purpose is to bound Patil's approximants in the upper half plane case, out of a bounded real interval $I$. To this end, we deal with residu techniques and give a class of functions to provide boundedness of these approximants on the complement of this interval.", "revisions": [ { "version": "v1", "updated": "2000-08-11T12:13:20.000Z" } ], "analyses": { "subjects": [ "30D55", "30E20", "44A15" ], "keywords": [ "hardy spaces", "real case", "asymptotic behavior", "upper half plane case", "linear dynamical control system" ], "tags": [ "dissertation" ], "note": { "typesetting": "TeX", "pages": 15, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2000math......8083B" } } }