Bibliography

Articles in International Peer-Reviewed Journals

• 1U. Boscain, R. Neel, L. Rizzi.
  
  Intrinsic random walks and sub-Laplacians in sub-Riemannian geometry, in: Advances in Mathematics, July 2017, https://arxiv.org/abs/1503.00725. [ DOI : 10.1016/j.aim.2017.04.024 ]
  
  https://hal.archives-ouvertes.fr/hal-01122735
• 2Y. Chitour, G. Mazanti, M. Sigalotti.
  
  Persistently damped transport on a network of circles, in: Transactions of the American Mathematical Society, June 2017, vol. 369, n^o 6, pp. 3841-3881, https://arxiv.org/abs/1406.0731. [ DOI : 10.1090/tran/6778 ]
  
  https://hal.inria.fr/hal-00999743
• 3G. Mazanti.
  
  Relative controllability of linear difference equations, in: SIAM Journal on Control and Optimization, 2017, vol. 55, n^o 5, pp. 3132–3153, https://arxiv.org/abs/1604.08663. [ DOI : 10.1137/16M1073157 ]
  
  https://hal.archives-ouvertes.fr/hal-01309166

Other Publications

• 4D. Barilari, L. Rizzi.
  
  On Jacobi fields and canonical connection in sub-Riemannian geometry, March 2017, https://arxiv.org/abs/1506.01827 - Final version, to appear on Archivum Mathematicum.
  
  https://hal.archives-ouvertes.fr/hal-01160902
• 5M. Caponigro, M. Sigalotti.
  
  Exact controllability in projections of the bilinear Schrödinger equation, 2017, working paper or preprint.
  
  https://hal.inria.fr/hal-01509971
• 6L. Rizzi, U. Serres.
  
  On the cut locus of free, step two Carnot groups, January 2017, https://arxiv.org/abs/1610.01596 - 13 pages. To appear on Proceedings of the AMS.
  
  https://hal.archives-ouvertes.fr/hal-01377408

• 7A. A. Agrachev, T. Chambrion.
  
  An estimation of the controllability time for single-input systems on compact Lie groups, in: ESAIM Control Optim. Calc. Var., 2006, vol. 12, n^o 3, pp. 409–441.
• 8A. A. Agrachev, D. Liberzon.
  
  Lie-algebraic stability criteria for switched systems, in: SIAM J. Control Optim., 2001, vol. 40, n^o 1, pp. 253–269.
  
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• 9A. A. Agrachev, Y. L. Sachkov.
  
  Control theory from the geometric viewpoint, Encyclopaedia of Mathematical Sciences, Springer-Verlag, Berlin, 2004, vol. 87, xiv+412 p, Control Theory and Optimization, II.
• 10A. A. Agrachev, A. V. Sarychev.
  
  Navier-Stokes equations: controllability by means of low modes forcing, in: J. Math. Fluid Mech., 2005, vol. 7, n^o 1, pp. 108–152.
  
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• 11F. Albertini, D. D'Alessandro.
  
  Notions of controllability for bilinear multilevel quantum systems, in: IEEE Trans. Automat. Control, 2003, vol. 48, n^o 8, pp. 1399–1403.
• 12C. Altafini.
  
  Controllability properties for finite dimensional quantum Markovian master equations, in: J. Math. Phys., 2003, vol. 44, n^o 6, pp. 2357–2372.
• 13L. Ambrosio, P. Tilli.
  
  Topics on analysis in metric spaces, Oxford Lecture Series in Mathematics and its Applications, Oxford University Press, Oxford, 2004, vol. 25, viii+133 p.
• 14G. Arechavaleta, J.-P. Laumond, H. Hicheur, A. Berthoz.
  
  An optimality principle governing human locomotion, in: IEEE Trans. on Robotics, 2008, vol. 24, n^o 1.
• 15L. Baudouin.
  
  A bilinear optimal control problem applied to a time dependent Hartree-Fock equation coupled with classical nuclear dynamics, in: Port. Math. (N.S.), 2006, vol. 63, n^o 3, pp. 293–325.
• 16L. Baudouin, O. Kavian, J.-P. Puel.
  
  Regularity for a Schrödinger equation with singular potentials and application to bilinear optimal control, in: J. Differential Equations, 2005, vol. 216, n^o 1, pp. 188–222.
• 17L. Baudouin, J. Salomon.
  
  Constructive solution of a bilinear optimal control problem for a Schrödinger equation, in: Systems Control Lett., 2008, vol. 57, n^o 6, pp. 453–464.
  
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• 18K. Beauchard.
  
  Local controllability of a 1-D Schrödinger equation, in: J. Math. Pures Appl. (9), 2005, vol. 84, n^o 7, pp. 851–956.
• 19K. Beauchard, J.-M. Coron.
  
  Controllability of a quantum particle in a moving potential well, in: J. Funct. Anal., 2006, vol. 232, n^o 2, pp. 328–389.
• 20M. Belhadj, J. Salomon, G. Turinici.
  
  A stable toolkit method in quantum control, in: J. Phys. A, 2008, vol. 41, n^o 36, 362001, 10 p.
  
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• 21F. Blanchini.
  
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• 22F. Blanchini, S. Miani.
  
  A new class of universal Lyapunov functions for the control of uncertain linear systems, in: IEEE Trans. Automat. Control, 1999, vol. 44, n^o 3, pp. 641–647.
  
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• 23A. M. Bloch, R. W. Brockett, C. Rangan.
  
  Finite Controllability of Infinite-Dimensional Quantum Systems, in: IEEE Trans. Automat. Control, 2010.
• 24V. D. Blondel, J. Theys, A. A. Vladimirov.
  
  An elementary counterexample to the finiteness conjecture, in: SIAM J. Matrix Anal. Appl., 2003, vol. 24, n^o 4, pp. 963–970.
  
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• 25A. Bonfiglioli, E. Lanconelli, F. Uguzzoni.
  
  Stratified Lie groups and potential theory for their sub-Laplacians, Springer Monographs in Mathematics, Springer, Berlin, 2007, xxvi+800 p.
• 26B. Bonnard, D. Sugny.
  
  Time-minimal control of dissipative two-level quantum systems: the integrable case, in: SIAM J. Control Optim., 2009, vol. 48, n^o 3, pp. 1289–1308.
  
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• 27A. Borzì, E. Decker.
  
  Analysis of a leap-frog pseudospectral scheme for the Schrödinger equation, in: J. Comput. Appl. Math., 2006, vol. 193, n^o 1, pp. 65–88.
• 28A. Borzì, U. Hohenester.
  
  Multigrid optimization schemes for solving Bose-Einstein condensate control problems, in: SIAM J. Sci. Comput., 2008, vol. 30, n^o 1, pp. 441–462.
  
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• 29C. Brif, R. Chakrabarti, H. Rabitz.
  
  Control of quantum phenomena: Past, present, and future, Advances in Chemical Physics, S. A. Rice (ed), Wiley, New York, 2010.
• 30F. Bullo, A. D. Lewis.
  
  Geometric control of mechanical systems, Texts in Applied Mathematics, Springer-Verlag, New York, 2005, vol. 49, xxiv+726 p.
• 31R. Cabrera, H. Rabitz.
  
  The landscape of quantum transitions driven by single-qubit unitary transformations with implications for entanglement, in: J. Phys. A, 2009, vol. 42, n^o 27, 275303, 9 p.
  
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• 32G. Citti, A. Sarti.
  
  A cortical based model of perceptual completion in the roto-translation space, in: J. Math. Imaging Vision, 2006, vol. 24, n^o 3, pp. 307–326.
  
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• 33J.-M. Coron.
  
  Control and nonlinearity, Mathematical Surveys and Monographs, American Mathematical Society, Providence, RI, 2007, vol. 136, xiv+426 p.
• 34W. P. Dayawansa, C. F. Martin.
  
  A converse Lyapunov theorem for a class of dynamical systems which undergo switching, in: IEEE Trans. Automat. Control, 1999, vol. 44, n^o 4, pp. 751–760.
  
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• 35L. El Ghaoui, S.-I. Niculescu.
  
  Robust decision problems in engineering: a linear matrix inequality approach, in: Advances in linear matrix inequality methods in control, Philadelphia, PA, Adv. Des. Control, SIAM, 2000, vol. 2, pp. 3–37.
• 36S. Ervedoza, J.-P. Puel.
  
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• 39M. Gugat.
  
  Optimal switching boundary control of a string to rest in finite time, in: ZAMM Z. Angew. Math. Mech., 2008, vol. 88, n^o 4, pp. 283–305.
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• 44K. Ito, K. Kunisch.
  
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• 48N. Khaneja, B. Luy, S. J. Glaser.
  
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• 51J.-S. Li, N. Khaneja.
  
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• 52D. Liberzon, J. P. Hespanha, A. S. Morse.
  
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• 55Y. Lin, E. D. Sontag, Y. Wang.
  
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• 56W. Liu.
  
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• 57Y. Maday, J. Salomon, G. Turinici.
  
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• 59M. Mirrahimi.
  
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