eprintid: 13507 rev_number: 6 eprint_status: archive userid: 5 dir: disk0/00/01/35/07 datestamp: 2016-08-02 12:41:59 lastmod: 2021-08-27 17:41:22 status_changed: 2016-08-02 12:41:59 type: book_section metadata_visibility: show item_issues_count: 2 creators_name: Kurzhanski, A.B. creators_name: Valyi, I. creators_id: AL0216 creators_id: AL1323 title: Ellipsoidal techniques for the problem of control synthesis ispublished: pub divisions: prog_das note: Proceedings of a IIASA Workshop held in Sopron, Hungary, June 1989 abstract: This paper introduces a technique for solving the problem of control synthesis for linear systems with constraints on the controls. Taking a scheme based on the notion of extremal aiming strategies of N. N. Krasovski, the present paper concentrates on constructive solutions generated through ellipsoidal-valued calculus and related approximation techniques for set-valued maps. Namely, the primary problem which originally requires an application of set-valued analysis is substituted by one which is based on ellipsoidal-valued functions. This yields constructive schemes applicable to algorithmic procedures and simulation with computer graphics. date: 1991 date_type: published publisher: Birkhäuser Boston id_number: 10.1007/978-1-4757-2135-5_12 creators_browse_id: 2088 creators_browse_id: 2471 full_text_status: none series: Progress in Systems and Control Theory number: 9 place_of_pub: USA pagerange: 169-184 refereed: TRUE book_title: Nonlinear Synthesis coversheets_dirty: FALSE fp7_type: info:eu-repo/semantics/bookPart citation: Kurzhanski, A.B. & Valyi, I. (1991). Ellipsoidal techniques for the problem of control synthesis. In: Nonlinear Synthesis. pp. 169-184 USA: Birkhäuser Boston. 10.1007/978-1-4757-2135-5_12 .