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Constraint algorithm for extremals in optimal control problems

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hdl:2117/1167

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Barbero Liñán, María
Muñoz Lecanda, Miguel CarlosMés informacióMés informació
Document typeArticle
Defense date2007-07-27
Rights accessOpen Access
Attribution-NonCommercial-NoDerivs 2.5 Spain
Except where otherwise noted, content on this work is licensed under a Creative Commons license : Attribution-NonCommercial-NoDerivs 2.5 Spain
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.
CitationBarbero Liñán, M.; Muñoz Lecanda, M.C. Constraint algorithm for extremals in optimal control problems. "International journal of geometric methods in modern physics", 27 Juliol 2007, vol. 6, núm. 7, p. 1221-1233. 
URIhttp://hdl.handle.net/2117/1167
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