@incollection{iiasa13507, number = {9}, series = {Progress in Systems and Control Theory}, note = {Proceedings of a IIASA Workshop held in Sopron, Hungary, June 1989}, booktitle = {Nonlinear Synthesis}, title = {Ellipsoidal techniques for the problem of control synthesis}, address = {USA}, publisher = {Birkh{\"a}user Boston}, year = {1991}, doi = {10.1007/978-1-4757-2135-5\_12}, pages = {169--184}, url = {https://pure.iiasa.ac.at/id/eprint/13507/}, 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.}, author = {Kurzhanski, A. B. and Valyi, I.} }