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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.)

Necessary conditions for continuous-time optimization under the Mangasarian-Fromovitz constraint qualification

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Cirilo do Monte, Moises Rodrigues [1, 2] ; de Oliveira, Valeriano Antunes [1]
Total Authors: 2
[1] Univ Estadual Paulista Unesp, Inst Biociencias Letras & Ciencias Exatas, Dept Matemat Aplicada, Campus Sao Jose Rio Preto, Sao Paulo - Brazil
[2] Univ Fed Uberlandia UFU, Inst Ciencias Exatas & Nat Pontal, Campus Ituiutaba, Uberlandia, MG - Brazil
Total Affiliations: 2
Document type: Journal article
Web of Science Citations: 0

In this paper, a Mangasarian-Fromovitz-type regularity condition is presented with the purpose of obtaining first order necessary optimality conditions for continuous-time nonlinear programming problems with both equality and inequality constraints. The Karush-Kuhn-Tucker-type optimality conditions are obtained by means of geometric ideas, where a theorem of the alternative and a uniform implicit function theorem are the main tools. (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