Conjugate times for smooth singular trajectories and bang-bang extremals

Abstract : In this paper we discuss the problem of estimating conjugate times along smooth singular or bang-bang extremals. For smooth extremals conjugate times can be defined in the generic case by using the intrinsic second order derivative or the exponential mapping. An algorithm is given which was implemented in the SR-case to compute the caustic or in recent applied problems. We investigate briefly the problem of using this algorithm in the bang-bang case by smoothing the corners of extremals.
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Conference papers
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https://hal.archives-ouvertes.fr/hal-00086443
Contributor : Emmanuel Trélat <>
Submitted on : Tuesday, July 18, 2006 - 6:48:05 PM
Last modification on : Friday, June 8, 2018 - 2:50:07 PM
Long-term archiving on : Friday, May 13, 2011 - 11:35:54 PM

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  • HAL Id : hal-00086443, version 1

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Bernard Bonnard, Ludovic Faubourg, Emmanuel Trélat. Conjugate times for smooth singular trajectories and bang-bang extremals. 2003, pp.177--182. ⟨hal-00086443⟩

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