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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Optimality conditions for infinite horizon control problems with state constraints

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Author(s):
de Oliveira, Valeriano Antunes [1] ; Silva, Geraldo Nunes [2]
Total Authors: 2
Affiliation:
[1] Univ Fed Uberlandia, Fac Ciencias Integradas Pontal, Ituiutaba, MG - Brazil
[2] Univ Estadual Paulista UNESP, BR-15054000 Sao Jose Do Rio Preto, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS; v. 71, n. 12, p. E1788-E1795, DEC 15 2009.
Web of Science Citations: 6
Abstract

Necessary conditions of optimality in the form of a maximum principle are derived for state constrained optimal control problems with infinite horizon. A notable feature of our optimality conditions is the derivation of Michel's type transversality condition in the presence of state constraints. Under the usual interiority assumption for the vector field for large times, the strong transversality condition is also verified. (C) 2009 Elsevier Ltd. All rights reserved. (AU)

FAPESP's process: 07/05226-6 - Stability and optimization of control systems
Grantee:Geraldo Nunes Silva
Support Opportunities: Regular Research Grants
FAPESP's process: 06/04315-2 - Multi-objective optimal control
Grantee:Valeriano Antunes de Oliveira
Support Opportunities: Scholarships in Brazil - Post-Doctoral