%S Progress in Systems and Control Theory
%A A.B. Kurzhanski
%A I. Valyi
%O Proceedings of a IIASA Workshop held in Sopron, Hungary, June 1989
%T Ellipsoidal techniques for the problem of control synthesis
%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.
%N 9
%P 169-184
%B Nonlinear Synthesis
%C USA
%D 1991
%I Birkhäuser Boston
%R 10.1007/978-1-4757-2135-5_12
%L iiasa13507