Regularity Conditions in Optimal Control

• Grant number: 16/03540-4
• Support Opportunities: Regular Research Grants
• Start date: June 01, 2016
• End date: May 31, 2018
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Principal Investigator: Valeriano Antunes de Oliveira
• Grantee: Valeriano Antunes de Oliveira
• Host Institution: Instituto de Biociências, Letras e Ciências Exatas (IBILCE). Universidade Estadual Paulista (UNESP). Campus de São José do Rio Preto. São José do Rio Preto , SP, Brazil
• Associated researchers: Geraldo Nunes Silva ; Roberto Andreani

Abstract

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)

Scientific publications

(7)

(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)

CIRILO DO MONTE, MOISES RODRIGUES; DE OLIVEIRA, VALERIANO ANTUNES. Necessary conditions for continuous-time optimization under the Mangasarian-Fromovitz constraint qualification. OPTIMIZATION, AUG 2019. (16/03540-4, 13/07375-0)

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, 2019-06-10. (13/07375-0, 16/03540-4)

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. (13/07375-0, 16/03540-4)

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. (16/03540-4, 13/07375-0)

ANDREANI, ROBERTO; DE OLIVEIRA, VALERIANO ANTUNES; PEREIRA, JAMIELLI TOMAZ; SILVA, GERALDO NUNES. A weak maximum principle for optimal control problems with mixed constraints under a constant rank condition. IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, v. 37, n. 3, p. 27-pg., 2020-09-01. (16/03540-4, 13/07375-0, 15/25610-1)

CIRILO DO MONTE, MOISES RODRIGUES; DE OLIVEIRA, VALERIANO ANTUNES. Necessary conditions for continuous-time optimization under the Mangasarian-Fromovitz constraint qualification. OPTIMIZATION, v. 69, n. 4, p. 22-pg., 2019-08-20. (16/03540-4, 13/07375-0)

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. (13/07375-0, 16/03540-4)