Skip Navigation


IMA Journal of Mathematical Control and Information Advance Access originally published online on August 2, 2006
IMA Journal of Mathematical Control and Information 2007 24(2):197-218; doi:10.1093/imamci/dnl008
This Article
Right arrow Full Text (PDF)
Right arrow All Versions of this Article:
24/2/197    most recent
dnl008v1
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Similar articles in ISI Web of Science
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by de Pinho, M. d. R.
Right arrow Articles by Rosenblueth, J. F.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© The author 2006. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

Mixed constraints in optimal control: an implicit function theorem approach

Maria do Rosário de Pinho**,1 and Javier F. Rosenblueth***,2

1 Universidade do Porto, Rua Dr Roberto Frias, 4200-465 Porto, Portugal, 2 IIMAS–UNAM, Apartado Postal 20-726, México DF 01000, México

** Email: mrpinho{at}fe.up.pt

*** Corresponding author. Email: jfrl{at}servidor.unam.mx


  Abstract

This paper concerns a derivation of second-order necessary conditions for a fixed-endpoint control problem of Lagrange involving mixed equality and/or inequality constraints, posed over piecewise continuous controls. These conditions are obtained in a clear and transparent way by reducing the original problem, through an implicit function theorem approach, to an unconstrained control problem.

Keywords: optimal control; mixed constraints; second-order necessary conditions; normality.

Received on 27 May 2005. Accepted on 15 December 2005.


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer:
Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.