Ellipsoidal approximations in problems of control

Valyi, I. (1988). Ellipsoidal approximations in problems of control. In: Modelling and Adaptive Control. pp. 361-384 Germany: Springer Berlin/Heidelberg. 10.1007/BFb0043197.

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The subject of study in this paper is an adaptive control problem involving uncertainties. It is a special case of the one considered in the paper by Kurzhanski [1], in the present volume. The system is described by differential inclusions and, accordingly, its solution, a feedback control ensuring that certain feasibility constraints be fulfilled, is sought in the form of a set valued map. We apply recent results of ellipsoidal calculus to develop an easily implementable algorithm that gives approximations to the known exact formulae. The paper is therefore an attempt to carry out the program proposed in the above mentioned article.

Item Type: Book Section
Research Programs: System and Decision Sciences - Core (SDS)
Depositing User: Romeo Molina
Date Deposited: 02 May 2016 13:18
Last Modified: 27 Aug 2021 17:40
URI: https://pure.iiasa.ac.at/12993

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