Research index for Jean-Baptiste Caillau

Journal papers

Convexity of injectivity domains on the ellipsoid of revolution: The oblate case
submitted to C. R. Acad. Sci. Paris, Ser. I (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, to appear (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.)


Book chapters

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.)

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.)


Conference proceedings

Energy minimization in two-level dissipative quantum control: The integrable case
submitted to AIMS Proceedings, (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
submitted to AIMS Proceedings, (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, to appear (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

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.)

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, Toulouse Univ., 2006

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


Softwares

Cotcot: Conditions of Order Two, COnjugate Times

TfMin: Minimum time orbit transfer

WASP: Wavelet Adaptive Solver for Boundary Value Problems



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jean-baptiste.caillau@u-bourgogne.fr
Last modified: Tue 24 Aug 2010 01:28:55 CEST