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

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Author(s):	Cirilo do Monte, Moises Rodrigues ^{[1, 2]} ; de Oliveira, Valeriano Antunes ^[1] Total Authors: 2
Affiliation:	^[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
Source:	OPTIMIZATION; AUG 2019.
Web of Science Citations:	0
Abstract
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