Singular extremals in multi-input time-optimal problems: a sufficient condition
Francesca Chittaro, Gianna Stefani (2010)
Control and Cybernetics
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Francesca Chittaro, Gianna Stefani (2010)
Control and Cybernetics
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B. Bonnard, G. Launay (1998)
ESAIM: Control, Optimisation and Calculus of Variations
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Bernard Bonnard, Jean-Baptiste Caillau, Emmanuel Trélat (2007)
ESAIM: Control, Optimisation and Calculus of Variations
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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...
Ursula Felgenhauer, Laura Poggiolini, Gianna Stefani (2009)
Control and Cybernetics
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