Research index for Jean-Baptiste Caillau

Journal papers

Maximal determinants of Schrödinger operators
In preparation (with Aldana, C.; Freitas, P.)

Solving chance-constrained optimal control problems in aerospace via Kernel Density Estimation
Submitted (with Cerf, M.; Sassi, A.; Trélat, E.; Zidani, H.)

L^1-minimization for mechanical systems
SIAM J. Control Optim. 54 (2016), no. 3, 1245-1265 (with Chen, Z.; Chitour, Y.)

Metrics with equatorial singularities on the sphere
Ann. Mat. Pura Appl. 193 (2014), no. 5, 1353-1382 (with Bonnard, B.)

Conjugate-cut loci and injectivity domains on two-spheres of revolution
ESAIM Control Optim. and Calc. Var. 19 (2013), no. 2, 533-554 (with Bonnard, B.; Janin, G.)

Minimum fuel control of the planar circular restricted three-body problem
Celestial Mech. Dynam. Astronom. 114 (2012), no. 1, 137-150 (with Daoud, B.; Gergaud, J.)

Minimum time control of the restricted three-body problem
SIAM J. Control Optim. 50 (2012), no. 6, 3178-3202 (with Daoud, B.)

Differential pathfollowing for regular optimal control problems
Optim. Methods Softw. 27 (2012), no. 2, 177-196 (with Cots, O.; Gergaud, J.)

Convexity of injectivity domains on the ellipsoid of revolution: The oblate case
C. R. Acad. Sci. Paris, Ser. I 348 (2010), 1315-1318 (with Bonnard, B.; Rifford, L.)

Geometric and numerical techniques in optimal control of the two and three body problems
Commun. Inf. Syst. 10 (2010), no. 4, 239-278 (with Bonnard, B.; Picot, G.)

Conjugate and cut loci of a two-sphere of revolution with application to optimal control
Ann. Inst. H. Poincaré Anal. Non Linéaire 26 (2009), no. 4, 1081-1098 (with Bonnard, B.; Sinclair, R.; Tanaka, M.)

Geodesic flow of the averaged controlled Kepler equation
Forum Math. 21 (2009), no. 5, 797-814 (with Bonnard, B.)

Optimality results in orbit transfer
C. R. Acad. Sci. Paris, Ser. I 345 (2007), 319-324 (with Bonnard, B.)

Riemannian metric of the averaged energy minimization problem in orbital transfer with low thrust
Ann. Inst. H. Poincaré Anal. Non Linéaire 24 (2007), no. 3, 395-411 (with Bonnard, B.)

Second order optimality conditions in the smooth case and applications in optimal control
ESAIM Control Optim. and Calc. Var. 13 (2007), no. 2, 207-236 (with Bonnard, B.; Trélat, E.)

Energy minimization of single-input orbit transfer by averaging and continuation
Bull. Sci. Math. 130 (2006), no. 8, 707-719 (with Bonnard, B.; Dujol, R.)

Averaging and optimal control of elliptic Keplerian orbits with low propulsion
Systems Control Lett. 55 (2006), no. 9, 755-760 (with Bonnard, B.; Dujol, R.)

Geometric optimal control of elliptic Keplerian orbits
Discrete Contin. Dyn. Syst. Ser. B 5 (2005), no. 4, 929-956 (with Bonnard, B.; Trélat, E.)

3D Geosynchronous Transfer of a Satellite: Continuation on the Thrust
J. Optim. Theory Appl. 118 (2003), no. 3, 541-565 (with Gergaud, J.; Noailles, J.)

Coplanar control of a satellite around the Earth
ESAIM Control Optim. and Calc. Var. 6 (2001), 239-258 (with Noailles, J.)

Sensitivity analysis for time optimal orbit transfer
Optimization 49 (2001), no. 4, 327-350 (with Noailles, J.)


Edited volumes

Variational methods in imaging and geometric control
Radon Series on Comput. and Applied Math. 18, de Gruyter, 2017 (with Bergounioux, M.; Peyré, G.; Schnörr, C.; Haberkorn, T.)

Special issue on New trends in optimal control
Discrete Contin. Dyn. Syst. 35 (2015), no. 9 (with Grüne, L.; do Rosario de Pinho, M.; Trélat, E.; Zidani, H.)

Special issue in the honor of Bernard Bonnard. Part I and II
Math. Control Relat. Fields 3 (2013), no. 3-4 (with Chyba, M.; Sugny, D.; Trélat, E.)


Proceedings and book chapters

Approximation by filtering in optimal control and applications
To appear (with Dargent, T.; Nicolau, F.)
Proceedings of the 20th IFAC world congress, Toulouse, July 2017

On local optima in minimum time control of the restricted three-body problem
Recent Advances in Celestial and Space Mechanics, 209-302, Mathematics for Industry 23, Springer, 2016 (with Farrès, A.)

On the injectivity and nonfocal domains of the ellipsoid of revolution
Geometric Control Theory and Sub-Riemannian Geometry, 73-85, INdAM Series 5, Springer, 2014 (with Royer, C. W.)
Proceedings of the INdAM meeting on Geometric Control and sub-Riemannian geometry, Cortona, May 2012

Energy minimization in two-level dissipative quantum control: The integrable case
Discrete Contin. Dyn. Syst. suppl. (2011), 198-208 (with Bonnard, B.; Cots, O.)
Proceedings of the 8th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Dresden, May 2010

Discrete and differential homotopy in circular restricted three-body control
Discrete Contin. Dyn. Syst. suppl. (2011), 229-239 (with Daoud, B.; Gergaud, J.)
Proceedings of the 8th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Dresden, May 2010

On some Riemannian aspects of two and three-body controlled problems
Recent Advances in Optimization and its Applications in Engineering, 205-224, Springer, 2010 (with Daoud, B.; Gergaud, J.)
Proceedings of the 14th Belgian-French-German Conference on Optimization, Leuven, September 2009

Remarks on quadratic Hamiltonians in spaceflight mechanics
Lagrangian and Hamiltonian Methods for Nonlinear Control, 365-373, Lecture Notes in Control and Inform. Sci. 366, Springer, 2007 (with Bonnard, B.; Dujol, R.)
Proceedings of the 3rd IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control, Nagoya, July 2006

Second order optimality conditions in optimal control with applications
Discrete Contin. Dyn. Syst. suppl. (2007), 145-154 (with Bonnard, B.; Trélat, E.)
Proceedings of the 6th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Poitiers, June 2006

Smooth approximations of single-input controlled Keplerian trajectories: Homotopies and averaging
Taming heterogeneity and complexity of embedded control, 73-95, International Scientific and Technical Encyclopedia, 2007 (with Bonnard, B.; Dujol, R.)
Proceedings of the Joint CTS-HYCON Workshop on Nonlinear and Hybrid Control, Paris, July 2006

Smooth homotopies for single-input time optimal orbital transfer
Int. J. Tomogr. Stat. 5 (2007), no. W07, 26-31 (with Bonnard, B.; Dujol, R.)
Proceedings of the 13th IFAC Workshop on Control Applications of Optimisation, Paris, April 2006

Averaging and optimal control of elliptic Keplerian orbits with low propulsion
Int. J. Tomogr. Stat. 5 (2007), no. W07, 20-25 (with Bonnard, B.; Dujol, R.)
Proceedings of the 13th IFAC Workshop on Control Applications of Optimisation, Paris, April 2006

Riemannian metric of the averaged controlled Kepler equation
Systems, Control, Modeling and Optimization, 79-89, IFIP Int. Fed. Inf. Process. 202, Springer, 2006 (with Bonnard, B.; Dujol, R.)
Proceedings of the 22nd IFIP TC 7 conference, Turin, July 2005

Introduction to nonlinear optimal control
Advanced topics in control systems theory, 1-60, Lecture Notes in Control and Inform. Sci. 328, Springer, 2006 (with Bonnard, B.)

Computation of conjugate times in smooth optimal control: the COTCOT algorithm
Proceedings of the 44th IEEE CDC and ECC 2005, 929-933, Seville, December 2005 (with Bonnard, B.; Trélat, E.)

Minimum time control of the Kepler equation
Unsolved Problems in Mathematical Systems and Control Theory, 89-92, Princeton University Press, 2004 (with Gergaud, J.; Noailles, J.)

Numerical Optimal Control and Orbital Transfers
Sonderforschungsbereich 255: Transatmosphärische Flugsysteme, 39-49, Hieronymus München, 2002 (with Gergaud, J.; Haberkorn, T.; Martinon, P.; Noailles, J.)
Proceedings of the Optimal Control Workshop, Greifswald, October 2002

Wavelets for adaptive solution of boundary value problems
Proceedings of the 16th IMACS World Congress, 1-6, Lausanne, August 2000 (with Noailles, J.)

Continuous optimal control sensitivity analysis with AD
Automatic Differentiation: From Simulation to Optimization, 109-117, Springer, 2002 (with Noailles, J.)
Proceedings of AD'2000, Nice, June 2000


Theses

Sur la géométrie des transferts orbitaux
Habilitation, Univ. Toulouse, 2006

Contribution à l'étude du contrôle en temps minimal des transferts orbitaux
PhD thesis, Univ. Toulouse, 2000


Softwares

hampath: Hamiltonian pathfollowing for regular optimal control problems

cotcot: Conditions of order two, conjugate times

tfmin: Minimum time orbit transfer

wasp: Wavelet adaptive solver for boundary value problems



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