Computation of conjugate times in smooth optimal control: the COTCOT algorithm

Abstract : Conjugate point type second order optimality conditions for extremals associated to smooth Hamiltonians are evaluated by means of a new algorithm. Two kinds of standard control problems fit in this setting: the so-called regular ones, and the minimum time singular single-input affine systems. Conjugate point theory is recalled in these two cases, and two applications are presented: the minimum time control of the Kepler and Euler equations.
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Submitted on : Tuesday, July 18, 2006 - 6:14:28 PM
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Bernard Bonnard, Jean-Baptiste Caillau, Emmanuel Trélat. Computation of conjugate times in smooth optimal control: the COTCOT algorithm. 2005, 6 p. ⟨hal-00086460⟩

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