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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Minimax optimal control problem with state constraints

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Author(s):
Karamzin, Dmitry ; de Oliveira, Valeriano ; Pereira, Fernando ; Silva, Geraldo
Total Authors: 4
Document type: Journal article
Source: European Journal of Control; v. 32, p. 24-31, NOV 2016.
Web of Science Citations: 1
Abstract

In this article, nondegenerate necessary conditions of optimality are derived and discussed for the so-called ``minimax{''} optimal control problems with state constraints. In this class of problems, the data depends on an unknown parameter that takes values in a given compact set called ``uncertainty set{''}. The solution of the problem is considered for the worst case value of the unknown parameter. The result is obtained in the two stages: after the basic necessary conditions of optimality are derived, additional conditions ensuring their nondegeneracy in the minimax context are obtained. (C) 2016 European Control Association. Published by Elsevier Ltd. All rights reserved. (AU)

FAPESP's process: 16/03540-4 - Regularity conditions in optimal control
Grantee:Valeriano Antunes de Oliveira
Support type: Regular Research Grants
FAPESP's process: 13/07375-0 - CeMEAI - Center for Mathematical Sciences Applied to Industry
Grantee:José Alberto Cuminato
Support type: Research Grants - Research, Innovation and Dissemination Centers - RIDC