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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)

News published in Agência FAPESP Newsletter about the scholarship:
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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, . (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, . (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, . (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, . (07/05226-6, 06/04315-2)