relation: https://pure.iiasa.ac.at/id/eprint/13507/
title: Ellipsoidal techniques for the problem of control synthesis
creator: Kurzhanski, A.B.
creator: Valyi, I.
description: 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.
publisher: Birkhäuser Boston
date: 1991
type: Book Section
type: PeerReviewed
identifier:   Kurzhanski, A.B. <https://pure.iiasa.ac.at/view/iiasa/2088.html> & Valyi, I. <https://pure.iiasa.ac.at/view/iiasa/2471.html>  (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 <https://doi.org/10.1007/978-1-4757-2135-5_12>.     
relation: 10.1007/978-1-4757-2135-5_12
identifier: 10.1007/978-1-4757-2135-5_12
doi: 10.1007/978-1-4757-2135-5_12