Multi-objective optimal control

• Grant number: 06/04315-2
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: April 01, 2007
• End date: February 29, 2008
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Principal Investigator: Geraldo Nunes Silva
• Grantee: Valeriano Antunes de Oliveira
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

We intend to contribute to the development of the optimality conditions theory for the multi-objective optimal control problems. We want to obtain sufficient conditions of optimality for such problems via generalized convexity as well as to study the relation between the multi-objective problem and an associated scalar problem. From this relation we intend to characterize the solutions of the multi-objective problem using tools, already existing, of mono-objective programming. (AU)

Scientific publications

(4)

(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)

DE OLIVEIRA‚ VA; SILVA‚ GN; ROJAS-MEDAR‚ MA. A class of multiobjective control problems. OPTIMAL CONTROL APPLICATIONS & METHODS, v. 30, n. 1, p. 77-86, 2009. (07/05226-6, 06/04315-2)

DE OLIVEIRA, VALERIANO ANTUNES; SILVA, GERALDO NUNES; ANTONIO ROJAS-MEDAR, MARKO. KT-invexity in optimal control problems. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, v. 71, n. 10, p. 4790-4797, NOV 15 2009. (06/04315-2)

DE OLIVEIRA, VALERIANO ANTUNES; ANTONIO ROJAS-MEDAR, MARKO. Proper efficiency in vector infinite programming problems. Optimization Letters, v. 3, n. 3, p. 319-328, JUL 2009. (06/04315-2)

DE OLIVEIRA, VALERIANO ANTUNES; SILVA, GERALDO NUNES. Optimality conditions for infinite horizon control problems with state constraints. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, v. 71, n. 12, p. E1788-E1795, DEC 15 2009. (07/05226-6, 06/04315-2)