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Article overview
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Constraint Algorithm for Extremals in Optimal Control Problems | | Maria Barbero-Linan
; Miguel C. Munoz-Lecanda
; | | Date: |
1 Aug 2007 | | Abstract: | A characterization of different kinds of extremals of optimal control
problems is given if we take an open control set. A well known constraint
algorithm for implicit differential equations is adapted to the study of such
problems. Some necessary conditions of Pontryagin’s Maximum Principle determine
the primary constraint submanifold for the algorithm. Some examples in the
control literature, such as subRiemannian geometry and control-affine systems,
are revisited to give, in a clear geometric way, a subset where the abnormal,
normal and strict abnormal extremals stand. | | Source: | arXiv, 0708.0102 | | Services: | Forum | Review | PDF | Favorites | |
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