Genralization of Optimality Conditions for Optimal Control Problems with Mixed Constraints

• Grant number: 15/25610-1
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: April 01, 2016
• End date: September 30, 2019
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Principal Investigator: Roberto Andreani
• Grantee: Jamielli Tomaz Pereira
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Associated research grant: 13/07375-0 - CeMEAI - Center for Mathematical Sciences Applied to Industry, AP.CEPID
• Associated scholarship(s): 19/18074-7 - Generalization of optimality conditions for optimal control problems with mixed constraints, BE.EP.DR

Abstract

The main objective in this project is the generalization of optimality conditions for optimal control problems with equality and inequality constraints, the celebrated Pontryagin Maximum Principle. The constraints to be considered are mixed, involving both the state and control variables. The maximum principle will be studied in the nonsmooth setting, where the Mordukhovich subdifferential will be used. The optimality conditions are obtained under constraint qualifications constant rank and constant positive linear dependence, that generalized the Mangasarian-Fromovitz type.

Scientific publications

(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)

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)

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

PEREIRA, Jamielli Tomaz. Generalization of optimality conditions for optimal control problems with mixed constraints. 2020. Doctoral Thesis - Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica Campinas, SP.