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Regularity Conditions in Optimal Control


The purpose of this research project is to define, for optimal control problems with mixed constraints, classic regularity conditions, well known in the literature of mathematical programming theory. Regularity conditions as constant rank and constant positive linear dependence types are analyzed. We will work on getting a maximum principle for the class of optimal control problems with equality and inequality mixed constraints (in the control and state variables). Problems with functional endpoints constraints will also be addressed. (AU)

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Scientific publications (5)
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
DO MONTE, MOISES RODRIGUES CIRILO; DE OLIVEIRA, VALERIANO ANTUNES. A Constant Rank Constraint Qualification in Continuous-Time Nonlinear Programming. Set-Valued and Variational Analysis, v. 29, n. 1 MAR 2020. Web of Science Citations: 0.
CIRILO DO MONTE, MOISES RODRIGUES; DE OLIVEIRA, VALERIANO ANTUNES. Necessary conditions for continuous-time optimization under the Mangasarian-Fromovitz constraint qualification. OPTIMIZATION, AUG 2019. Web of Science Citations: 0.
DE OLIVEIRA, VALERIANO ANTUNES; SILVA, GERALDO NUNES. Sufficient Optimality Conditions for Optimal Control Problems with State Constraints. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, v. 40, n. 8, p. 867-887, JUN 11 2019. Web of Science Citations: 0.
M.R.C. MONTE; V.A. DE OLIVEIRA. A Full Rank Condition for Continuous-Time Optimization Problems with Equality and Inequality Constraints. TEMA (São Carlos), v. 20, n. 1, p. 15-35, Abr. 2019.
KARAMZIN, DMITRY; DE OLIVEIRA, VALERIANO; PEREIRA, FERNANDO; SILVA, GERALDO. Minimax optimal control problem with state constraints. European Journal of Control, v. 32, p. 24-31, NOV 2016. Web of Science Citations: 1.

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