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Table of Contents - April 2011 - Volume 17 - Issue 02
Yuri L. Sachkov
© EDP Sciences, SMAI, 2010
Published online by Cambridge University Press: 19 January 2011
DOI: http://dx.doi.org/10.1051/cocv/2010005 (About DOI)
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Sina Ober-Blöbaum, Oliver Junge and Jerrold E. Marsden
Finding a solution to optimal control problems for mechanical systems is of paramount importance in a number of applications, ranging from vehicle dynamics to bio-engineering. More precisely, in most cases real systems can be attacked only by feasible computational approaches. When dealing with a continuous model, there are many different possible patterns to reach a discrete algorithm. This paper focuses on the idea that discretization should be introduced at the very first stage, producing a new approach called Discrete Mechanics and Optimal Control. The latter has various advantages, in particular the discrete solution inherits structural properties, like symmetries and integrals of the motion, and may be convenient from computational point of view. The authors present the whole approach from theoretical properties all the way to simulations. They also add a very nice and honest conclusion section, where they point out the difficulty in finding global optima and some recipe to deal with that.
Benedetto Piccoli, Corresponding Editor
DOI: http://dx.doi.org/10.1051/cocv/2010012 (About DOI)
Rinaldo M. Colombo, Michael Herty and Magali Mercier
DOI: http://dx.doi.org/10.1051/cocv/2010007 (About DOI)
Philippe Moireau and Dominique Chapelle
DOI: http://dx.doi.org/10.1051/cocv/2010006 (About DOI)
© EDP Sciences, SMAI, 2011
DOI: http://dx.doi.org/10.1051/cocv/2011001 (About DOI)
Mihály Petreczky
DOI: http://dx.doi.org/10.1051/cocv/2010014 (About DOI)
DOI: http://dx.doi.org/10.1051/cocv/2010015 (About DOI)
Sabine Schemm
DOI: http://dx.doi.org/10.1051/cocv/2010016 (About DOI)
Marta Lewicka
DOI: http://dx.doi.org/10.1051/cocv/2010002 (About DOI)
Jean-Marie Buchot and Jean-Pierre Raymond
DOI: http://dx.doi.org/10.1051/cocv/2010017 (About DOI)
Zhong-Jie Han and Gen-Qi Xu
DOI: http://dx.doi.org/10.1051/cocv/2010009 (About DOI)
Stefania Patrizi
DOI: http://dx.doi.org/10.1051/cocv/2010019 (About DOI)