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Contributions in optimal control theory

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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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, VALERIANO A.; DOS SANTOS, LUCELINA B.; OSUNA-GOMEZ, RAFAELA; ROJAS-MEDAR, MARKO A.. Optimality conditions for nonlinear infinite programming problems. Optimization Letters, v. 9, n. 6, p. 1131-1147, . (11/01977-2)
DE OLIVEIRA, VALERIANO ANTUNES; SILVA, GERALDO NUNES. New optimality conditions for nonsmooth control problems. Journal of Global Optimization, v. 57, n. 4, p. 1465-1484, . (09/18643-0, 11/01977-2)
CHALCO-CANO, YURILEV; DE OLIVEIRA, VALERIANO A.; SILVA, GERALDO N.. Description of the Attainable Sets of One-Dimensional Differential Inclusions. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, v. 164, n. 1, p. 138-153, . (13/07375-0, 11/01977-2, 11/13985-0)
DE OLIVEIRA, VALERIANO A.; SILVA, GERALDO N.; PEREIRA, FERNANDO LOBO; IEEE. A New Sufficient Condition for Optimal Impulsive Control Problems. 2012 IEEE 51ST ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), v. N/A, p. 6-pg., . (11/01977-2, 09/18643-0)

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