Ellipsoidal techniques for the problem of control synthesis

Kurzhanski AB & Valyi I (1991). Ellipsoidal techniques for the problem of control synthesis. In: Nonlinear Synthesis. Progress in Systems and Control Theory (9). pp. 169-184 USA: Birkhäuser Boston. DOI: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: 02 Aug 2016 12:41
URI: http://pure.iiasa.ac.at/13507

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