J
Jean-Baptiste Caillau
Researcher at French Institute for Research in Computer Science and Automation
Publications - 80
Citations - 1024
Jean-Baptiste Caillau is an academic researcher from French Institute for Research in Computer Science and Automation. The author has contributed to research in topics: Optimal control & Singularity. The author has an hindex of 18, co-authored 72 publications receiving 922 citations. Previous affiliations of Jean-Baptiste Caillau include ENSEEIHT & University of Burgundy.
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Second order optimality conditions in the smooth case and applications in optimal control
TL;DR: In this article, the authors present an algorithm called COTCOT (Conditions of Order Two and COnjugate Times) for computing the first conjugate time along a smooth extremal curve, where the trajectory ceases to be optimal.
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Conjugate and cut loci of a two-sphere of revolution with application to optimal control
TL;DR: In this paper, the cut locus for a class of metrics on a two-sphere of revolution is reduced to a single branch, motivated by optimal control problems in space and quantum dynamics and gives global optimal results in orbital transfer and for Lindblad equations in quantum control.
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Differential continuation for regular optimal control problems
TL;DR: Regular control problems in the sense of the Legendre condition are defined, and second-order necessary and sufficient optimality conditions in this class are reviewed.
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3D Geosynchronous Transfer of a Satellite: Continuation on the Thrust
TL;DR: In this paper, the authors considered the minimum-time transfer of a satellite from a low and eccentric initial orbit toward a high geostationary orbit, where the thrust available is assumed to be very small (e.g. 0.3 Newton).
Journal Article
Geometric optimal control of elliptic Keplerian orbits
TL;DR: In this article, the authors studied the controllability properties of the system and made a preliminary analysis of the time optimal control using the maximum principle for the transfer of a satellite between Keplerian orbits.