Friday 29 July 2011

Wseas Transactions

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Transactions: INTERNATIONAL JOURNAL of APPLIED MATHEMATICS AND INFORMATICS
Transactions ID Number: 17-193
Full Name: Javier Rosenblueth
Position: Professor
Age: ON
Sex: Male
Address: IIMAS-UNAM, Apartado Postal 20-726, Mexico DF 01000
Country: MEXICO
Tel: 5622-3559
Tel prefix: 5255
Fax: 5622-3596
E-mail address: jfrl@servidor.unam.mx
Other E-mails:
Title of the Paper: Augmented Lagrangians in optimization theory
Authors as they appear in the Paper: Javier F Rosenblueth
Email addresses of all the authors: jfrl@servidor.unam.mx
Number of paper pages: 9
Abstract: In this paper we show how the notion of augmentability can be generalized to certain optimization problems that lie beyond the classical setting of constrained minimum problems in a finite dimensional space. We provide a brief overview of some of the main ideas related to the theory of augmentability for minimum problems involving equality and inequality constraints. Based on this theory, we introduce a notion of augmentability which is used in place of normality to establish first and second order necessary conditions for optimal control problems with mixed equality constraints.
Keywords: Augmentability, Optimal control problems, Mixed equality constraints, Regularity, Normality
EXTENSION of the file: .pdf
Special (Invited) Session: Constrained optimization through augmentability
Organizer of the Session: 658-204
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