Publications of Jean-Baptiste Caillau on HAL

Zheng Chen, Jean-Baptiste Caillau, Yacine Chitour. L$^1$-minimization for mechanical systems. SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2016, 54 (3), pp.1245-1265. 〈10.1137/15M1013274〉. 〈hal-01136676〉

Jean-Baptiste Caillau, Lars Grüne, Maria Do Rosário De Pinho, Emmanuel Trélat, Hasnaa Zidani. Special issue on New trends in optimal control. Discrete and Continuous Dynamical Systems - Series A, American Institute of Mathematical Sciences, 2015, Special issue on New trends in optimal control, 35 (9), pp. i - iv 〈10.3934/dcds.2015.35.9i〉. 〈hal-01277412〉

Bernard Bonnard, Jean-Baptiste Caillau. Metrics with equatorial singularities on the sphere. Ann. Mat. Pura Appl., 2014, 193 (5), pp.1353-1382. 〈10.1007/s10231-013-0333-y〉. 〈hal-00319299v7〉

Bernard Bonnard, Jean-Baptiste Caillau, Gabriel Janin. Conjugate-cut loci and injectivity domains on two-spheres of revolution. ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, 2013, 19 (2), pp.533-554. 〈hal-00802078〉

Jean-Baptiste Caillau, Olivier Cots, Joseph Gergaud. Differential pathfollowing for regular optimal control problems. Optimization Methods and Software, Taylor & Francis, 2012, 27 (2), pp.177-196. 〈hal-00641908〉

Jean-Baptiste Caillau, Bilel Daoud. Minimum time control of the restricted three-body problem. SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2012, 50 (6), pp.3178-3202. 〈hal-00599216v4〉

Jean-Baptiste Caillau, Bilel Daoud, Joseph Gergaud. Minimum fuel control of the planar circular restricted three-body problem. Celestial Mech. Dynam. Astronom., 2012, 114 (1), pp.137-150. 〈hal-00743098〉

Bernard Bonnard, Jean-Baptiste Caillau, Ludovic Rifford. Convexity of injectivity domains on the ellipsoid of revolution: The oblate case. Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 2011, (to appear). 〈hal-00540262〉

Bernard Bonnard, Jean-Baptiste Caillau, Gautier Picot. Geometric and numerical techniques in optimal control of two and three- body problems. Commun. Inf. Syst., 2010, 10 (4), pp.239-278. 〈hal-00540261〉

Bernard Bonnard, Jean-Baptiste Caillau, Ludovic Rifford. Convexity of injectivity domains on the ellipsoid of revolution: The oblate case. Comptes Rendus Mathématique, Elsevier Masson, 2010, 348 (23-24), 〈10.1016/j.crma.2010.10.036〉. 〈hal-01336325〉

Bernard Bonnard, Jean-Baptiste Caillau, Ludovic Rifford. Convexity of injectivity domains on the ellipsoid of revolution: The oblate case. Comptes rendus hebdomadaires des séances de l'Académie des sciences, Elsevier, 2010, 348, pp.1315-1318. 〈hal-00545768〉

Bernard Bonnard, Jean-Baptiste Caillau. Riemannian metric of the averaged energy minimization problem in orbital transfer with low thrust. Ann. Inst. H. Poincaré Anal. Non Linéaire, 2007, 24 (3), pp.395-411. 〈hal-00540258〉

Bernard Bonnard, Jean-Baptiste Caillau, Emmanuel Trélat. Second order optimality conditions with applications. Discrete and Continuous Dynamical Systems - Series A (2007), 2007, Dynamical Systems and Differential Equations, Proceedings of the 6th AIMS International Conference,, pp.145--154. 〈hal-00105493〉

Bernard Bonnard, Jean-Baptiste Caillau, Emmanuel Trélat. Second order optimality conditions in the smooth case and applications in optimal control. ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, 2007, 13 (2), pp.207--236. 〈hal-00086380〉

Bernard Bonnard, Jean-Baptiste Caillau. Optimality results in orbit transfer. Comptes rendus hebdomadaires des séances de l'Académie des sciences, Elsevier, 2007, 345, pp.319-324. 〈hal-00540259〉

Jean-Baptiste Caillau, Bernard Bonnard, Romain Dujol. Energy minimization of single input orbit transfer by averaging and continuation. Bull. Sci. Math., 2006, 130 (8), pp.707-719. 〈hal-00540255〉

Bernard Bonnard, Jean-Baptiste Caillau, Romain Dujol. Averaging and optimal control of elliptic Keplerian orbits with low propulsion. Systems Control Lett., 2006, 55 (9), pp.755-760. 〈hal-00540257〉

Bernard Bonnard, Jean-Baptiste Caillau, Emmanuel Trélat. Geometric optimal control of elliptic Keplerian orbits. Discrete and Continuous Dynamical Systems - Series S, American Institute of Mathematical Sciences, 2005, Series B, 5 (4), pp.929--956. 〈hal-00086345〉

Jean-Baptiste Caillau, Joseph Gergaud, Joseph Noailles. 3D Geosynchronous Transfer of a Satellite: Continuation on the Thrust. Journal of Optimization Theory and Applications, Springer Verlag, 2003, 118 (3), pp.541-565. 〈hal-00540254〉

Jean-Baptiste Caillau, Joseph Noailles. Sensitivity analysis for time optimal orbit transfer. Optimization, Taylor & Francis, 2001, 49 (4), pp.327-350. 〈hal-00540246〉

Jean-Baptiste Caillau, Joseph Noailles. Coplanar control of a satellite around the Earth. ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, 2001, 6, pp.239-258. 〈hal-00540251〉

Jean-Baptiste Caillau, Thierry Dargent, Florentina Nicolau. Approximation by filtering in optimal control and applications. Denis Dochain; Didier Henrion; Dimitri Peaucelle. IFAC 2017 World Congress. The 20th World Congress of the International Federation of Automatic Control, Jul 2017, Toulouse, France. Elsevier, 50 (1), pp.1649-1654, 2017, IFAC-PapersOnLine. 〈https://www.ifac2017.org/〉. 〈10.1016/j.ifacol.2017.08.332〉. 〈hal-01588465〉

Jean-Baptiste Caillau, Bilel Daoud, Joseph Gergaud. Discrete and differential homotopy in circular restricted three-body control. Proceedings of the 8th AIMS Conference on Dynamical Systems, Differential Equations and Applications, May 2010, Germany. (to appear), 2011. 〈hal-00586226〉

Jean-Baptiste Caillau, Bernard Bonnard, Olivier Cots. Energy minimization in two-level dissipative quantum control: The integrable case. Proceedings of the 8th AIMS Conference on Dynamical Systems, Differential Equations and Applications, May 2010, Germany. (to appear), 2011. 〈hal-00586231〉

Bernard Bonnard, Jean-Baptiste Caillau, Emmanuel Trélat. Geometric analysis of minimum time Keplerian orbit transfers. Proceedings of the 22nd IFIP TC 7 Conference on System Modeling and Optimization, Torino, Italy., 2006, Torino, Italy. Springer, 6 p., 2006. 〈hal-00086456〉

Bernard Bonnard, Jean-Baptiste Caillau, Romain Dujol. Smooth homotopies for single-input time optimal orbital transfer. 13th IFAC Workshop on Control Applications of Optimisation, 2006, France. 5 (W07), pp.26-31, 2007. 〈hal-00540284〉

Bernard Bonnard, Jean-Baptiste Caillau, Romain Dujol. Smooth approximations of single-input controlled Keplerian trajectories: homotopies and averaging. Joint CTS-HYCON Workshop on Nonlinear and Hybrid Control, 2006, France. pp.76-95, 2007, International Scientific and Technical Encyclopedia. 〈hal-00540293〉

Bernard Bonnard, Jean-Baptiste Caillau, Romain Dujol. Averaging and optimal control of elliptic Keplerian orbits with low propulsion. 13th IFAC Workshop on Control Applications of Optimisation, 2006, France. 5 (W07), pp.20-25, 2007. 〈hal-00540280〉

Bernard Bonnard, Jean-Baptiste Caillau, Romain Dujol. Remarks on quadratic Hamiltonians in spaceflight mechanics. 3rd IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control, 2006, Japan. Springer, 366, pp.365-373, 2007, Lecture Notes in Control and Inform. Sci. 〈hal-00540295〉

Bernard Bonnard, Jean-Baptiste Caillau, Emmanuel Trélat. Computation of conjugate times in smooth optimal control: the COTCOT algorithm. 2005, IEEE, 6 p., 2005. 〈hal-00086460〉

Bernard Bonnard, Jean-Baptiste Caillau. Riemannian metric of the averaged controlled Kepler equation. 22nd IFIP TC 7, 2005, Italy. Springer, 202, pp.79-89, 2006, IFIP Int. Fed. Inf. Process. 〈hal-00540278〉

Jean-Baptiste Caillau, Joseph Gergaud, Joseph Noailles. Numerical control and orbital transfers. Optimal Control Workshop, 2002, Germany. pp.39-49, 2002. 〈hal-00540276〉

Jean-Baptiste Caillau, Joseph Noailles. Wavelets for adaptive solution of boundary value problems. 16th IMACS World Congress, 2000, Switzerland. pp.1-6, 2000. 〈hal-00540274〉

Jean-Baptiste Caillau, Joseph Noailles. Continuous optimal control sensitivity analysis with AD. AD'2000, 2000, France. pp.109-117, 2002. 〈hal-00540268〉

Jean-Baptiste Caillau, Ariadna Farrés. On local optima in minimum time control of the restricted three-body problem. Bernard Bonnard; Monique Chyba. Recent Advances in Celestial and Space Mechanics, 23, Springer, pp.209 - 302, 2016, Mathematics for Industry, 978-3-319-27464-5. 〈10.1007/978-3-319-27464-5〉. 〈hal-01260120〉

Jean-Baptiste Caillau, Clément Royer. On the injectivity and nonfocal domains of the ellipsoid of revolution. Proceedings of the INDAM meeting on Geometric Control and sub-Riemannian geometry, 5, Springer, pp.73-85, 2014, Indam series, 〈10.1007/978-3-319-02132-4_5〉. 〈hal-01315530〉

Bernard Bonnard, Jean-Baptiste Caillau. Introduction to nonlinear optimal control. Advanced topics in control systems theory, Springer, pp.1-60, 2006, Lecture Notes in Control and Inform. Sci. 328, 〈10.1007/11583592_1〉. 〈hal-00540265〉

Jean-Baptiste Caillau, Joseph Gergaud, Joseph Noailles. Minimum time control of the Kepler equation. Unsolved Problems in Mathematical Systems and Control Theory, Princeton University Press, pp.89-92, 2004. 〈hal-00540263〉

Maïtine Bergounioux, Jean-Baptiste Caillau, Thomas Haberkorn, Gabriel Peyré, Christoph Schnörr. Variational methods in imaging and geometric control. France. de Gruyter, 2017, Radon Series on Comput. and Applied Math., 〈https://www.degruyter.com/view/product/458544〉. 〈hal-01315508〉

Jean-Baptiste Caillau, Monique Chyba, Dominique Sugny, Emmanuel Trélat. Special issue in the honor of Bernard Bonnard. Part I and II. France. 3 (3-4), 2013, Math. Control Relat. Fields. 〈hal-01315512〉

Jean-Baptiste Caillau, Max Cerf, Achille Sassi, Emmanuel Trélat, Hasnaa Zidani. Chance constrained optimization of a three-stage launcher. Journées SMAI-MODE 2016 (Toulouse). 2016. 〈hal-01408885〉

Jean-Baptiste Caillau, Max Cerf, Achille Sassi, Emmanuel Trélat, Hasnaa Zidani. Kernel Density Estimation applied to the chance-constrained Goddard problem. PGMO Days 2016 (Palaiseau). 2016. 〈hal-01408897〉

Jean-Baptiste Caillau, Max Cerf, Achille Sassi, Emmanuel Trélat, Hasnaa Zidani. Optimisation d’un lanceur. SMAI 2015 (Les Karellis). 2015. 〈hal-01408836〉

Jean-Baptiste Caillau, Max Cerf, Achille Sassi, Emmanuel Trélat, Hasnaa Zidani. Chance constrained optimization of a three-stage launcher . Journées du GdR MOA 2015 (Dijon). 2015. 〈hal-01408875〉

Jean-Baptiste Caillau, Jacques Fejoz, Michaël Orieux, Robert Roussarie. Singularities of min time affine control systems. 2018. 〈hal-01718345〉

Michaël Orieux, Jean-Baptiste Caillau, Thierry Combot, Jacques Fejoz. Non-integrability of the minimum-time Kepler problem. 2018. 〈hal-01679261v2〉

Lamberto Dell'Elce, Jean-Baptiste Caillau, Jean-Baptiste Pomet. Averaging Optimal Control Systems with Two Fast Variables. 2018. 〈hal-01793704〉

Jean-Baptiste Caillau, Max Cerf, Achille Sassi, Emmanuel Trélat, Hasnaa Zidani. Solving chance constrained optimal control problems in aerospace via Kernel Density Estimation. 2017. 〈hal-01507063〉

Clara Aldana, Jean-Baptiste Caillau, Pedro Freitas. Maximal determinants of Schrödinger operators. 2017. 〈hal-01406270〉

Cyprien Gilet, Marie Deprez, Jean-Baptiste Caillau, Michel Barlaud. Clustering with feature selection using alternating minimization. Application to computational biology. 2017. 〈hal-01671982〉

Jean-Baptiste Caillau. Injectivity domain of ellipsoid of revolution. The oblate case.. 2010. 〈hal-00487386〉

Jean-Baptiste Caillau, Bilel Daoud, Joseph Gergaud. On some Riemannian aspects of two and three-body controlled problems. 2009. 〈hal-00432635v2〉

Bernard Bonnard, Jean-Baptiste Caillau, Gautier Picot. Geometric and numerical techniques in optimal control of the two and three-body problems. 2009. 〈hal-00432631〉

Bernard Bonnard, Jean-Baptiste Caillau. Note on singular Clairaut-Liouville metrics. 2008. 〈hal-00202493v3〉

Bernard Bonnard, Jean-Baptiste Caillau. Geodesic flow of the averaged controlled Kepler equation. 2008. 〈hal-00134702v6〉

Bernard Bonnard, Jean-Baptiste Caillau, Robert Sinclair, Minoru Tanaka. Conjugate and cut loci of a two-sphere of revolution with application to optimal control. 2008. 〈hal-00212075v2〉

Bernard Bonnard, Jean-Baptiste Caillau, Minoru Tanaka. One-parameter family of Clairaut-Liouville metrics. 2007. 〈hal-00177686v3〉

Jean-Baptiste Caillau. Formulary of geodesics of the projected averaged Kepler Hamiltonian. 2007. 〈hal-00130214v3〉

Bernard Bonnard, Jean-Baptiste Caillau, Emmanuel Trélat. Second order optimality conditions in optimal control with applications. 2006. 〈hal-00090374〉

Bernard Bonnard, Jean-Baptiste Caillau. Conjugate and cut loci in averaged orbital transfer. 2006. 〈hal-00129774〉

Bernard Bonnard, Jean-Baptiste Caillau. A global optimality result with application to orbital transfer. 2006. 〈hal-00129535〉

Bernard Bonnard, Jean-Baptiste Caillau, Emmanuel Trélat. Cotcot: short reference manual. Technical report. 2005. 〈hal-00086640〉

Jean-Baptiste Caillau. Convexity of injectivity domains on the ellipsoid of revolution: The oblate case (addendum). 2011. 〈hal-00564457〉

Jean-Baptiste Caillau. Contribution a l'etude du controle en temps minimal des transferts orbitaux. Mathématiques [math]. Institut National Polytechnique de Toulouse - INPT, 2000. Français. 〈tel-00001182〉

Jean-Baptiste Caillau. Sur la géométrie des transferts orbitaux. Mathématiques [math]. Institut National Polytechnique de Toulouse - INPT, 2006. 〈tel-00125863v2〉