UMA Home page for Jean-Baptiste Caillau
Caillau
Jean-Baptiste
OC team
Former member
was: teaching/research
was: teaching/research
Research Habilitation 2006
Ph.D. 2000
EMAIL_TEMPLATE
Publications
Papers in peer-reviewed journals
2018
- Solving chance constrained optimal control problems in aerospace via Kernel Density Estimation
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Optimal Control, Applications and Methods, vol. 39(5), pp. 1818-1832, 2018
2016
- L^1-minimization for mechanical systems
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SIAM J. Control Optim., vol. 54, pp. 1245-1265, 2016
2014
- Metrics with equatorial singularities on the sphere
and
Ann. Mat. Pura Appl., vol. 193, pp. 1353-1382, 2014
2013
- Conjugate-cut loci and injectivity domains on two-spheres of revolution
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ESAIM Control Optim. and Calc. Var., vol. 19, pp. 533-554, 2013
2012
- Differential pathfollowing for regular optimal control problems
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Optimization Methods and Software, vol. 27 (2), pp. 177-196, 2012 - Minimum fuel control of the planar circular restricted three-body problem
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Celestial Mech. Dynam. Astronom., vol. 114, pp. 137-150, 2012 - Minimum time control of the restricted three-body problem
and
SIAM J. Control Optim., vol. 50, pp. 3178-3202, 2012
2010
- Convexity of injectivity domains on the ellipsoid of revolution: The oblate case
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C. R. Acad. Sci. Paris, Ser. I, vol. 348, pp. 1315-1318, 2010 - Geometric and numerical techniques in optimal control of two and three- body problems
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Commun. Inf. Syst., vol. 10(4), pp. 239-278, 2010
2009
- Conjugate and cut loci of a two-sphere of revolution with application to optimal control
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Ann. Inst. H. Poincaré Anal. Non Linéaire, vol. 26, 4, pp. 1081--1098, 2009 - Geodesic flow of the averaged controlled Kepler equation
and
Forum math., vol. 21(5), pp. 797-814, 2009
2007
- Optimality results in orbit transfer
and
C. R. Acad. Sci. Paris, Ser. I, vol. 345, pp. 319-324, 2007 - Riemannian metric of the averaged energy minimization problem in orbital transfer with low thrust
and
Ann. Inst. H. Poincaré Anal. Non Linéaire, vol. 24(3), pp. 395-411, 2007 - Second order optimality conditions in the smooth case and applications in optimal control
, and
ESAIM Control Optim. and Calc. Var., vol. 13(2), pp. 207-236, 2007
2006
- Averaging and optimal control of elliptic Keplerian orbits with low propulsion
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Systems Control Lett., vol. 55(9), pp. 755-760, 2006 - Energy minimization of single input orbit transfer by averaging and continuation
, and
Bull. Sci. Math., vol. 130(8), pp. 707-719, 2006
2005
- Geometric optimal control of elliptic Keplerian orbit
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Discrete Contin. Dyn. Syst. Ser. B, vol. 5(4), pp. 929-956, 2005
2003
- 3D Geosynchronous Transfer of a Satellite: Continuation on the Thrust
, and
J. Optim. Theory Appl., vol. 118(3), pp. 541-565, 2003
2001
- Coplanar control of a satellite around the Earth
and
ESAIM Control Optim. and Calc. Var., vol. 6, pp. 239-258, 2001 - Sensitivity analysis for time optimal orbit transfer
and
Optimization, vol. 49(4), pp. 327-350, 2001
Chapters
2016
- On local optima in minimum time control of the restricted three-body problem
and
vol. 23, pp. 209-302, Recent Advances in Celestial and Space Mechanics, Springer, apr, 2016
2006
- Introduction to nonlinear optimal control
and
Advanced topics in control systems theory, vol. 328, pp. 1-60, Lecture Notes in Control and Inform. Sci., 2006
2004
- Minimum time control of the Kepler equation
, and
Unsolved Problems in Mathematical Systems and Control Theory, pp. 89-92, Princeton University Press, 2004
Edited books
2016
- Variational methods in imaging and geometric control
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Radon Series on Comput. and Applied Math., vol. 18, de Gruyter, 2016
2015
- Special issue on New trends in optimal control
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Discrete Contin. Dyn. Syst., vol. 35(9), AIMS, 2015
2013
- Special issue in the honor of Bernard Bonnard. Part I and II
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Math. Control Relat. Fields, vol. 3, 2013
International conferences with proceedings
2014
- On the injectivity and nonfocal domains of the ellipsoid of revolution
and
Geometric Control Theory and Sub-Riemannian Geometry, pp. 73-86, Proceedings of the INDAM meeting on Geometric Control and sub-Riemannian geometry, May 2012., Springer, 2014
2011
- Discrete and differential homotopy in circular restricted three-body control
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Discrete Contin. Dyn. Syst., vol. Suppl., pp. 229-239, Proceedings of 8th AIMS Conference on Dynamical Systems, Differential Equations and Applications, 2011 - Energy minimization in two-level dissipative quantum control: The integrable case
, and
Discrete Contin. Dyn. Syst., vol. Suppl., pp. 198-208, Proceedings of 8th AIMS Conference on Dynamical Systems, Differential Equations and Applications, 2011
2010
- On some Riemannian aspects of two and three-body controlled problems
, and
Recent Advances in Optimization and its Applications in Engineering, pp. 205-224, Proceedings of the 14th Belgium-Franco-German conference on Optimization, Springer, 2010
2007
- Averaging and optimal control of elliptic Keplerian orbits with low propulsion
, and
Int. J. Tomogr. Stat., vol. 5(W07), pp. 20-25, Proceedings of the 13th IFAC Workshop on Control Applications of Optimisation, 2007 - Remarks on quadratic Hamiltonians in spaceflight mechanics
, and
Lagrangian and Hamiltonian Methods for Nonlinear Control, vol. 366, pp. 365-373, Proceedings of the 3rd IFAC Workshop on Lagrangian and Hamilto- nian Methods for Nonlinear Control, Springer, 2007 - Second order optimality conditions in optimal control with applications
, and
Discrete Contin. Dyn. Syst. Ser., vol. suppl., pp. 145-154, Proceedings of the 6th AIMS Conference on Dynamical Sys- tems, Differential Equations and Applications, 2007 - Smooth approximations of single-input controlled Keplerian trajectories: homotopies and averaging
, and
Taming heterogeneity and complexity of embedded control, pp. 73-95, Proceedings of the Joint CTS-HYCON Workshop on Nonlinear and Hybrid Control, International Scientific and Technical Encyclopedia, 2007 - Smooth homotopies for single-input time optimal orbital transfer.
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Int. J. Tomogr. Stat., vol. 5(W07), pp. 26-31, Proceedings of the 13th IFAC Workshop on Control Applications of Optimisation, 2007
2006
- Riemannian metric of the averaged controlled Kepler equation
, and
Systems, Control, Modeling and Optimization, vol. 202, pp. 79-89, Proceedings of the 22nd IFIP TC 7 conference, Springer, 2006
2005
- Computation of conjugate times in smooth optimal control: The cotcot algorithm
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pp. 929-933, Proceedings of the 44th IEEE Conference on Decision and Control and European Control Conference ECC 2005, 2005
2002
- Numerical control and orbital transfers
, and
Sonderforschungsbereich 255: Transatmosphärische Flugsysteme, pp. 39-49, Proceedings of the Optimal Control Workshop, Hieronymus München, 2002
2000
- Continuous optimal control sensitivity analysis with AD
and
Automatic Differentiation: From Simulation to Optimization, pp. 109-117, Proceedings of AD'2000, Springer, 2000 - Wavelets for adaptive solution of boundary value problems
and
pp. 1-6, Proceedings of the 16th IMACS World Congress, 2000
Doctoral these
2000
Other publications
2010
2006
1999
- tfmin: Minimum time orbit transfer
and
1999