Publications de
Bernard Bonnard, Olivier Cots, Nataliya Shcherbakova
The Serret-Andoyer Riemannian metric and Euler-Poinsot rigid body motion
Dans : Mathematical Control and Related Fields, American Institute of Mathematical Sciences (AIMS), Vol. 3 N. 3, p. 287-302, septembre 2013.
Résumé Accès : http://doi.org/10.3934/mcrf.2013.3.287
BibTeXBernard Bonnard, Olivier Cots, Nataliya Shcherbakova
Energy minimization problem in two-level dissipative quantum control: meridian case
Dans : Journal of Mathematical Sciences, Springer, Vol. 195 N. 3, p. 311-335, 2013.
Résumé Accès : http://cots.perso.enseeiht.fr – https://oatao.univ-toulouse.fr/12315/
BibTeXBernard Bonnard, Olivier Cots, Steffen Glaser, Marc Lapert, Dominique Sugny, Yun Zhang
Geometric optimal control of the contrast imaging problem in Nuclear Magnetic Resonance
Dans : IEEE Transactions on Automatic Control, IEEE : Institute of Electrical and Electronics Engineers, Numéro spécial Control of Quantum Mechanical Systems, Vol. 57 N. 8, p. 1957-1969, 2012.
Résumé Accès : http://doi.org/10.1109/TAC.2012.2195859
BibTeXBernard Bonnard, Olivier Cots, Nataliya Shcherbakova, Dominique Sugny
The energy minimization problem for two-level dissipative quantum systems.
Dans : Journal of Mathematical Physics, American Institute of Physics, USA, Vol. 51, (support électronique), septembre 2010.
Bernard Bonnard, Jean-Baptiste Caillau, Robert Sinclair, Minoru Tanaka
Conjugate and cut loci of a two-sphere of revolution with application to optimal control
Dans : Annales de l’Institut Henri Poincaré- Analalyse Non Linéaire, Elsevier, Vol. 26 N. 4, p. 1081-1098, 2009.
Bernard Bonnard, Jean-Baptiste Caillau
Geodesic flow of the averaged controlled Kepler equation
Dans : Forum Mathematicum, de Gruyter, Berlin – Germany, Vol. 21 N. 5, p. 797-814, 2009.
Bernard Bonnard, Jean-Baptiste Caillau
Optimality results in orbit transfer
Dans : C. R. Acad. Sci. Paris, Ser. I, Académie des Sciences, Vol. 345, p. 319-324, 2007.
Bernard Bonnard, Jean-Baptiste Caillau
Riemannian metric of the averaged energy minimization problem in orbital transfer with low thrust
Dans : Annales de l’Institut Henri Poincaré, Elsevier, Vol. 24 N. 3, p. 395-411, 2007.
Bernard Bonnard, Jean-Baptiste Caillau, Emmanuel Trélat
Second order optimality conditions in the smooth case and applications in optimal control
Dans : ESAIM : Control, Optimisation and Calculus of Variations, EDP Sciences, Vol. 13 N. 2, p. 207-236, 2007.
Bernard Bonnard, Jean-Baptiste Caillau, Romain Dujol
Energy minimization of single input orbit transfer by averaging and continuation
Dans : Bulletin des Sciences Mathématiques, Elsevier, Vol. 130 N. 8, p. 707-719, février 2006.
Bernard Bonnard, Jean-Baptiste Caillau, Romain Dujol
Averaging and optimal control of elliptic Keplerian orbits with low propulsion
Dans : Systems and Control Letters, Elsevier, Vol. 55 N. 9, p. 755-760, 2006.
Bernard Bonnard, Jean-Baptiste Caillau, Emmanuel Trélat
Geometric optimal control of elliptic Keplerian orbits
Dans : Discrete and Continuous Dynamical Systems, Series B, Vol. 5 N. 4, p. 929-956, 2005.
Bernard Bonnard, Jean-Baptiste Caillau, Olivier Cots
Energy minimization in two-level dissipative quantum control : The integrable case (regular paper)
Dans : AIMS conference on Dynamical Systems, Differential Equations and Applications, Dresden, 25/05/10-28/05/10, American Institute of Mathematical Sciences (AIMS), p. 198-208, 2011.
Bernard Bonnard, Jean-Baptiste Caillau, Olivier Cots, Joseph Gergaud
Résolution d’un problème de contraste en imagerie par Résonance Magnétique Nucléaire
Dans : Congrès SMAI, Guidel, 23/05/11-27/05/11.
Bernard Bonnard, Jean-Baptiste Caillau, Romain Dujol
Smooth homotopies for single-input time optimal orbital transfer
Dans : IFAC Workshop on Control Applications of Optimisation, Paris, 26/04/06-28/04/06, Vol. 5, Indian Society for Development & Environment Research, p. 26-31, 2007.
Bernard Bonnard, Jean-Baptiste Caillau, Romain Dujol
Averaging and optimal control of elliptic Keplerian orbits with low propulsion
Dans : IFAC Workshop on Control Applications of Optimisation, Paris, 26/04/06-28/04/06, Vol. 5, Indian Society for Development & Environment Research, p. 20-25, 2007.
Bernard Bonnard, Jean-Baptiste Caillau, Romain Dujol
Smooth approximations of single-input controlled Keplerian trajectories: homotopies and averaging
Dans : Taming Heterogeneity and Complexity of Embedded Control (Joint CTS-HYCON Workshop on Nonlinear and Hybrid Control), Paris, 10/07/06-12/07/06, F. Lamnabhi, S. Laghrouche, A. Loria, E. Panteley (Eds.), International Scientific and Technical Encyclopedia (ISTE) (Hermès), p. 73-96, 2007.
Bernard Bonnard, Jean-Baptiste Caillau, Romain Dujol
Remarks on quadratic Hamiltonians in spaceflight mechanics
Dans : IFAC Workshop on Lagrangian and Hamiltonian Methods in Nonlinear Control, Nagoya, 19/07/06-21/07/06, F. Bullo, K. Fujimoto (Eds.), Springer-Verlag, Lecture Notes in Control and Inform. Sci. 366, p. 365-373, 2007.
Bernard Bonnard, Jean-Baptiste Caillau, Emmanuel Trélat
Second order optimality conditions in optimal control with applications
Dans : AIMS conference on Dynamical Systems, Differential Equations and Applications, Poitiers, 25/06/06-28/06/06, American Institute of Mathematical Sciences (AIMS), p. 145-154, juin 2006.
Bernard Bonnard, Jean-Baptiste Caillau, Romain Dujol
Riemannian metric of the averaged controlled Kepler equation
Dans : 22nd IFIP TC 7 Conference on System Modelling and Optimization, Turin, 18/07/05-22/07/05, Vol. 202, Springer, IFIP Series, p. 79-89, juillet 2005.
Bernard Bonnard, Jean-Baptiste Caillau, Emmanuel Trélat
Geometric analysis of minimum time Keplerian orbit transfers
Dans : 22nd IFIP TC 7 Conference on System Modeling and Optimization, Turin, 01/07/05-01/07/05, xx, juillet 2005.
Bernard Bonnard, Jean-Baptiste Caillau, Emmanuel Trélat
Computation of conjugate times in smooth optimal control: the COTCOT algorithm
Dans : 44th IEEE Conf. on Decision and Control / European Conf. on Control, Seville, 01/12/05-01/12/05, IEEE, p. 929-933, décembre 2005.
Bernard Bonnard, Jean-Baptiste Caillau
Introduction to nonlinear optimal control
Dans : Advanced topics in control systems theory. Antonio Loria, Françoise Lamnabhi-Lagarrigue, Elena Panteley (Eds.) , Springer, p. 1-60, Vol. 328, Lecture Notes on Control and Information Sciences, 2006.
Accès : http://www.springer.com/sgw/cda/frontpage/0 – 11855 – 4-175-22-110651991-detailsPage%253Dppmmedia%257Ctoc%257Ctoc – 00.html
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