Ellipsoidal techniques for the problem of control synthesis

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.

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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.

Item Type:	Book Section
Additional Information:	Proceedings of a IIASA Workshop held in Sopron, Hungary, June 1989
Research Programs:	Decision Analysis and Support (DAS)
Depositing User:	Romeo Molina
Date Deposited:	02 Aug 2016 12:41
Last Modified:	27 Aug 2021 17:41
URI:	https://pure.iiasa.ac.at/13507

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