| Grant number: | 11/01977-2 |
| Support Opportunities: | Regular Research Grants |
| Start date: | June 01, 2011 |
| End date: | May 31, 2013 |
| 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 |
Abstract
This project is part of an effort to develop the theory of optimality conditions for optimal control problems. Our goal is to study finite and infinite horizon optimal control problems in the scalar and multiobjective cases. Overall, we will study new conditions of optimality for such problems, both necessary and sufficient. In the case of multiobjective problems, we will also study the relationship between them and an associated scalar problem, method known as Geoffrion scheme or scalarization. This should be done using the concept of generalized convexity. Some results of this nature has been obtained, but under differentiability assumptions. Our intention is to obtain results without this hypothesis. (AU)
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