%0 Book Section
%A Kurzhanski, A.B.
%A Valyi, I.
%B Nonlinear Synthesis
%C USA
%D 1991
%F iiasa:13507
%I Birkhäuser Boston
%N 9
%P 169-184
%R 10.1007/978-1-4757-2135-5_12
%S Progress in Systems and Control Theory
%T Ellipsoidal techniques for the problem of control synthesis
%U https://pure.iiasa.ac.at/id/eprint/13507/
%X 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.
%Z Proceedings of a IIASA Workshop held in Sopron, Hungary, June 1989