Geometric control approach to synthesis theory.
Boscain, U., Piccoli, B. (1998)
Rendiconti del Seminario Matematico
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Boscain, U., Piccoli, B. (1998)
Rendiconti del Seminario Matematico
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Vladimir Gurman (2009)
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Hans Oberle, Ricki Rosendahl (2008)
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Bernard Bonnard, Jean-Baptiste Caillau, Emmanuel Trélat (2007)
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The aim of this article is to present algorithms to compute the first conjugate time along a smooth extremal curve, where the trajectory ceases to be optimal. It is based on recent theoretical developments of geometric optimal control, and the article contains a review of second order optimality conditions. The computations are related to a test of positivity of the intrinsic second order derivative or a test of singularity of the extremal flow. We derive an algorithm called COTCOT (Conditions...