Ellipsoidal Techniques: The Problem of Control Synthesis

Kurzhanski AB & Valyi I (1991). Ellipsoidal Techniques: The Problem of Control Synthesis. IIASA Working Paper. IIASA, Laxenburg, Austria: WP-91-003

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Abstract

This paper introduces a technique for solving the problem of control synthesis with constraints on the controls. Although the problem is treated here for linear systems only, the synthesized system is driven by a nonlinear control strategy and is therefore generically nonlinear. 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: Monograph (IIASA Working Paper)
Research Programs: System and Decision Sciences - Core (SDS)
Depositing User: IIASA Import
Date Deposited: 15 Jan 2016 02:01
Last Modified: 06 Aug 2016 01:29
URI: http://pure.iiasa.ac.at/3560

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