Generalization of optimality conditions for optimal control problems with mixed constraints

Author(s)

Jamielli Tomaz Pereira

• Document type: Doctoral Thesis
• Press: Campinas, SP.
• Institution: Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica
• Defense date: 2020-04-03

Examining board members

Roberto Andreani; Geraldo Nunes Silva; José Mario Martínez Pérez; Leonardo Delarmelina Secchin; Jose Alberto Ramos Flor

• Advisor: Roberto Andreani; Valeriano Antunes de Oliveira

Abstract

The main objective in this Ph.D.'s thesis is the generalization of first-order, the celebrated Pontryagin Maximum Principle, and second-order necessary optimality conditions for optimal control problems with equality and inequality constraints. The constraints to be considered are of mixed type, involving both the state and control variables. The maximum principle has been studied in the nonsmooth setting, the limiting (Mordukhovich's) subdifferential and the Clarke's subdifferential have been used. The necessary optimality conditions are obtained under new constraint qualifications of constant rank type, that generalizes the full rank condition. (AU)

• FAPESP's process: 15/25610-1 - Genralization of Optimality Conditions for Optimal Control Problems with Mixed Constraints
• Grantee: Jamielli Tomaz Pereira
• Support Opportunities: Scholarships in Brazil - Doctorate