PUBLICATIONS OF
UGO BOSCAIN
Books
[BOOK2] A. Agrachev, D. Barilari, and U. Boscain. A Comprehensive Introduction to sub-Riemannian Geometry, volume 181 of Cambridge Studies in Advanced Mathematics. Cambridge University Press, Cambridge, 2020. xviii+746 pp. Preprint version
[BOOK1] U. Boscain, B. Piccoli Optimal Syntheses for Control Systems on 2-D Manifolds,
Book Editor
[3] D. Barilari, U. Boscain, M. Sigalotti (Editors), Geometry, Analysis and Dynamics on
Sub-Riemannian
Manifolds:
Volume II, EMS Series of Lectures in Mathematics.
[2] D. Barilari, U. Boscain, M. Sigalotti (Editors), Geometry, Analysis and Dynamics on
Sub-Riemannian
Manifolds: Volume I (EMS Series of Lectures in Mathematics). ISBN-10: 3037191627
[1] Stefani, G., Boscain, U., Gauthier, J.-P., Sarychev, A.,
Sigalotti,
Geometric Control Theory and Sub-Riemannian Geometry
Series:
Springer INdAM Series, Vol. 5 (2014)
Chapters of Books
[5] U. Boscain, M. Sigalotti Introduction to controllability of nonlinear systems. in Contemporary Research in Elliptic PDEs and Related Topics. Serena Dipierro ed. INDAM-Spinger Series 33. pp. 203-220.
[4] A. Agrachev, D. Barilari, U. Boscain, Introduction to geodesics in sub-Riemannian geometry.
Geometry, Analysis and Dynamics on Sub-Riemannian Manifolds: Volume II, EMS Series of Lectures in
Mathematics.
[3] U. Boscain, B. Piccoli, Synthesis theory in optimal control,
Encyclopedia of Systems and Control, Springer.
[2] U. Boscain,
A review on stability of
switched systems
for arbitrary
switchings, Proceedings of the conference "Geometric Control and
Nonsmooth Analysis", Rome June 5 - 9, 2006, "Series on Advances in
Mathematics for Applied Sciences", Worldscientific, pp. 100--119, 2007.
[1] U. Boscain, B. Piccoli
A Short Introduction to Optimal Control
, in ``Controle non lineaire et applications'', edited by Tewfik
Sari, Travaux en cours, Hermann, Paris. LES COURS DU CIMPA. pp.
19-66. (2005)
Preprints
[pre5] U. Boscain, D. Prandi, L. Sacchelli, G.Turco. A bio-inspired geometric model for sound reconstruction 2020.
[pre4] D.Barilari, U. Boscain, D. Cannarsa On the induced geometry on surfaces in 3D contact sub-Riemannian manifolds
[pre3] N. Augier, U. Boscain, M. Sigalotti. Effective adiabatic control of a decoupled Hamiltonian obtained by rotating wave approximation. Preprint hal-02562363v1.
[pre2] R. Robin, N. Augier, U. Boscain, M. Sigalotti. On the compatibility of the adiabatic and rotating wave approximations for robust population transfer in qubits. Preprint hal-02504532v1.
[pre1] I. Beschastnyi, U. Boscain, M. Sigalotti. An obstruction to small-time controllability of the bilinear Schroedinger equation. Preprint hal-02385244v2.
Papers in Refereed Journals:
[66pre] D. Barilari, U. Boscain, D. Cannarsa, K. Habermann. Stochastic processes on surfaces in three-dimensional contact sub-Riemannian manifolds. Preliminary accepted on Annales de l'Institut Henri Poincare, Probability and Statistics.
[65] U. Boscain, E. Pozzoli, M. Sigalotti. Classical and quantum controllability of a rotating 3D symmetric molecule 2019. To appear on SIAM SICON.
[64] R. Adami, U. Boscain, V. Franceschi, D. Prandi. Point interactions for 3D sub-Laplacians. To appear in Annales de l'Institut Henri Poincare (C) Non Linear Analysis
[63] N. Augier, U. Boscain, M. Sigalotti. Semi-conical eigenvalue intersections and the ensemble controllability problem for quantum systems. MCRF doi: 10.3934/mcrf.2020023 (2020).
[62] U. Boscain, R. Neel, Extensions of Brownian motion to a family of Grushin-type singularities. Electron. Commun. Probab. 25 (2020), Paper No. 29, 12 pp.
[61] U. Boscain, R. Chertovskih, J.P. Gauthier, D. Prandi, A. Remizov Cortical-inspired image reconstruction via sub-Riemannian geometry and hypoelliptic diffusion. Proceedings SMAI 2017. ESAIM: Proceedings and Surveys 64. 2019.
[60] D. Barilari, U. Boscain, R. Neel, Heat kernel asymptotics on sub-Riemannian manifolds with symmetries and applications to the bi-Heisenberg group Ann. Fac. Sci. Toulouse Math. (6) 28 (2019), no. 4, 707-732.
[59] N. Augier, U. Boscain, M. Sigalotti. Adiabatic ensemble control of a continuum of quantum systems. SIAM J. Control Optim. 56 (2018), no 6. pp. 4045-4068.
[58] U. Boscain, R. Chertovskih, J.P. Gauthier, D. Prandi, A. Remizov. Highly corrupted image inpainting through hypoelliptic diffusion. Journal of Mathematical Imaging and Vision. October 2018, Volume 60, Issue 8, pp 1231-1245.
[57] Balde, Moussa; Boscain, Ugo; Mason, Paolo Corrigendum and addendum to: “A note on stability conditions for planar switched systems”. Internat. J. Control 90 (2017), no. 10, 2249-2252. 93D20 (93C30).
[56] A. Agrachev, U. Boscain, R. Neel, L. Rizzi. Intrinsic random walks in Riemannian and sub-Riemannian geometry via volume sampling. ESAIM COCV. 24 (2018) n. 3. pp. 1075-1105.
[55] U. Boscain, R. Neel, L. Rizzi Intrinsic random walks and sub-Laplacians in sub-Riemannian geometry. Adv. Math. 314 (2017), 124-184.
[54] U. Boscain, L. Sacchelli, M. Sigalotti, Generic singularities of line fields on 2D manifolds. Differential Geom. Appl. 49 (2016), 326-350.
[53] D. Barilari, U. Boscain, E. Le Donne, M. Sigalotti,
Sub-Finsler structures from the time-optimal control
viewpoint for some nilpotent distributions
J. Dyn. Control Syst. 23 (2017), no. 3, 547-575.
[52] S. Glaser, U. Boscain, T. Calarco, C. Koch,
W. Kckenberger, R. Kosloff, I. Kuprov, B. Luy, S.
Schirmer, T. Schulte-Herbrggen, D. Sugny, F. Wilhelm
Training Schrdinger's cat: quantum optimal control Eur. Phys. J. D (2015) 69: 279.
[51] D. Barilari, U. Boscain, G. Charlot, R.W. Neel,
On the heat diffusion for
generic
Riemannian and sub-Riemannian structures To appear on International Mathematics Research Notices.
[50] U. Boscain, P. Mason, G. Panati, M.
Sigalotti, On the
control of spin-boson systems. J. Math. Phys. 56 (2015), no. 9,
092101, 15
pp.
[49] U. Boscain, D. Prandi, M. Seri,
Spectral analysis and the
Aharonov-Bohm effect on certain almost-Riemannian manifolds.
to appear on Communication on PDEs.
[48] U. Boscain, D. Prandi,
Self-adjoint extensions and stochastic completeness of the
Laplace-Beltrami operator on conic and anticonic surfaces
anticonic-type surfaces J. Differential Equations 260 (2016) 32343269
[47] U. Boscain, G. Charlot, M. Gaye, P. Mason,
Local properties of
almost-Riemannian structures in dimension 3. Discrete and Continuous
Dynamical Systems Volume 35, Issue 9, 2015 Pages 4115-4147
[46] U. Boscain, J.P. Gauthier, F. Rossi M. Sigalotti,
Approximate
controllability, exact controllability, and conical eigenvalue
intersections for quantum mechanical systems.. Comm. Math. Phys. 333
(2015), no. 3, 1225-1239.
[45] U. Boscain, F. Gronberg, R. Long, H. Rabitz,
Time minimal trajectories for
two-level quantum systems with two bounded controls.
J. Math. Phys. 55 , 062106 (2014) ; http://dx.doi.org/10.1063/1.4882158
[44] T. Maillot, U. Boscain, J.P. Gauthier, U. Serres.
Lyapunov and minimum-time path
planning for drones. J. Dyn. Control Syst. 21 (2015), no. 1, 4780.
[43] U. Boscain, R. Chertovskih, J.P. Gauthier, A. Remizov.
Hypoelliptic diffusion and
human vision: a semi-discrete new twist.
SIAM Journal on Imaging Sciences 2014, Vol. 7, No. 2, pp.
669-695
[42] R. Duits, U. Boscain, F. Rossi, Y. Sachkov. Association fields via cuspless
sub-Riemannian geodesics in SE(2). Journal of Mathematical Imaging and
Vision June 2014, Volume 49, Issue 2,
pp 384-417.
[41] U. Boscain, R. Duits, F. Rossi, Y. Sachkov.
Curve cuspless reconstruction via
sub-Riemannian geometry Accepted on ESAIM: Control, Optimization and Calculus of
Variations (COCV), Volume 20, Issue 03, 2014, pp 748 - 770.
[40] U. Boscain, M.Caponigro, Mario Sigalotti
Multi-input Schrdinger equation: controllability, tracking, and
application to the quantum angular momentum.
Journal of Differential Equations 256 (2014), no. 11, 3524-3551.
[39] U. Boscain, J.P. Gauthier. On the Spherical Hausdorff Measure
in Step 2, Corank 2 sub-Riemannian Geometry. SIAM J. Control Optim.
51 (2013), no. 6, 4450-4462.
[38] D. Barilari, U. Boscain, R. Neel, Small time heat kernel
asymptotics
at the sub-Riemannian cut locus. JDG Vol 92, No.3, 2012, pp. 373-416.
[37] D. Barilari, U. Boscain, J.P. Gauthier,
On 2-step, corank 2 nilpotent sub-Riemannian metrics
. SIAM J. CONTROL
OPTIM, Vol. 50, No. 1, pp. 559--582.
[36] U. Boscain, C. Laurent, The Laplace-Beltrami
operator in
almost-Riemannian Geometry. Ann. Inst. Fourier (Grenoble) 63 (2013),
no. 5, 1739-1770.
[35] U. Boscain, F. Chittaro, P. Mason, M. Sigalotti, Adiabatic control of
the Schroedinger equation via conical intersections of
the eigenvalues. IEEE Transactions on Automatic Control, Volume: 57,
Issue: 8, pp. 1970 - 1983, 2012.
[34] U. Boscain, M. Caponigro, T. Chambrion, and M. Sigalotti, A weak
spectral condition for the controllability of the bilinear
Schrdinger equation with application to the control of a rotating planar
molecule. Commun. Math. Phys. 311, 423-455 (2012).
[33] U. Boscain, G. Charlot, R. Ghezzi,
Normal forms and invariants for 2-dimensional almost-Riemannian
structures. Differential Geometry and its Applications.Vol. 31, No. 1,
2013, Pages 41-62.
[32] U. Boscain, J. Duplaix, J.P. Gauthier,
F. Rossi, Anthropomorphic image
reconstruction via hypoelliptic diffusion. SIAM J. CONTROL OPTIM.Vol.
50, No. 3, pp. 1309--1336
[31] A. Agrachev, D. Barilari, U. Boscain,
On the Hausdorff volume in
sub-Riemannian geometry. Calculus of Variations and PDE's
Volume 43, Numbers 3-4 March 2012.
[30] U. Boscain, J.P. Gauthier, F. Rossi
``Hypoelliptic heat kernel over 3-step nilpotent Lie groups''
, to appear on Contemporary Mathematics. Fundamental Directions.
[29] U. Boscain, G. Charlot, R. Ghezzi, M. Sigalotti,
Lipschitz Classification
of Almost-Riemannian Distances on Compact Oriented Surfaces.
J. Geom. Anal. 23 (2013), no. 1, 438455. September 2011. DOI
10.1007/s12220-011-9262-4.
[28] A. Agrachev, U. Boscain, G. Charlot, R. Ghezzi, M. Sigalotti,
Two-Dimensional Almost-Riemannian Structures with Tangency Points, Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume
27, Issue 3, May-June 2010, Pages 793-807
[27] U. Boscain, G. Charlot, F. Rossi,
``Existence of planar curves minimizing length and curvature''
, Proceedings of the Steklov Institute of Mathematics, 2010, Vol.
270, pp. 43--56.
[26] M. Balde, U. Boscain, P. Mason,
"A note on stability conditions for planar switched systems".
International Journal of Control, Vol 82, 2009,
pp. 1882-1888.
[25] U. Boscain, F. Rossi,
``Projective Reed-Shepp Car on $S^2$'',
ESAIM: Control, Optimization and Calculus of Variations (COCV), 2010, pp.
275-297, DOI: 10.1051/cocv:2008075
[24] A. Agrachev, U. Boscain, J.P. Gauthier, F. Rossi, ``The intrinsic hypoelliptic Laplacian and the
corresponding heat kernel on unimodular Lie groups''
Journal of Functional Analysis, Volume 256, Issue 8, 15 April 2009, Pages
2621-2655.
[23] T. Chambrion, P. Mason, M. Sigalotti and U. Boscain, Controllability
of the discrete-spectrum Schroedinger equation driven by an external
field,
Annales de l'Institut Henri Poincare (C) Non Linear
Analysis Volume 26, Issue 1, January-February 2009, Pages 329-349.
[22] U. Boscain, F. Rossi,
``Invariant Carnot-Caratheodory metrics on S^3, SO(3),
SL(2)
and
Lens Spaces'', SIAM,
Journal on Control and Optimization, Vol 47, pp. 1851-1878, (2008).
[21] U. Boscain, S. Polidoro,
Gaussian estimates for
hypoelliptic
operators via optimal
control Rendiconti dei Lincei, Matematica ed
Applicazioni Vol 18, Nov. 2007.
[20] U. Boscain, M. Sigalotti,
High-order angles in almost-Riemannian
geometry, Actes du seminaire de theorie spectrale et geometrie.
Grenoble.
Vol 25, 2006-2007, pp. 41-54.
[19] A. Agrachev, U. Boscain, M. Sigalotti,
``A Gauss-Bonnet-like
Formula
on Two-Dimensional Almost-Riemannian Manifolds'',
Discrete and Continuous Dynamical
Systems-A, vol. 20, pp. 801-822, 2008.
[18] M. Balde, U. Boscain,
``Stability of Planar Switched Systems: the
Nondiagonalizable Case'',
Communication on
Pure and
Applied Analysis Vol. 7, N. 1, pp. 1--21, (2008).
[17]Paolo Mason, Rebecca Salmoni, Ugo Boscain, Yacine
Chitour,
Limit Time Optimal
Syntheses for a control-affine system on $S^2$,
SIAM,
Journal on Control and Optimization, vol. 47, pp. 111--143 (2008).
[16] U. Boscain, P. Mason,
``Time Minimal Trajectories for a Spin 1/2
Particle in a Magnetic field '',
J. Math. Phys. 47, 062101 (2006) (29 pages).
[15] P. Mason, U. Boscain, Y. Chitour,
``Common Polynomial Lyapunov
Functions for Linear Switched Systems'',
SIAM SICON, Journal on Control
and Optimization, Vol. 45, n. 1, pages 226 - 245
[14] U. Boscain, G. Charlot, M. Sigalotti, ``
Stability of Planar Nonlinear Switched Systems , DCDS-A, Vol 15, n.2, June 2006, pp. 415-432.
[13] U. Boscain, T. Chambrion, G. Charlot,
``Nonisotropic 3-level
Quantum Systems: Complete Solutions for Minimum Time and Minimal Energy'', Discrete
and Continuous Dynamical Systems-B, Vol. 5, n. 4, pp. 957 -- 990 (2005).
[12] U. Boscain, Y. Chitour,
Time Optimal Synthesis for Left--Invariant
Control Systems on SO(3), SIAM SICON, Journal on
Control
and Optimization, Vol. 44, No. 1
pp. 111-139, 2005.
[11] U. Boscain, I. Nikolaev, B. Piccoli,
``Classification of Stable Time--Optimal Controls on 2-manifolds'',
Journal of Mathematical Sciences. Vol. 135, Number 4, pp. 3109-3124.
(2006). Published in
Russian on Sovrem. Mat. Prilozh. No. 21, Geom. Zadachi Teor. Upr.
(2004), pp. 19--35.
[10] U. Boscain, G. Charlot,
Resonance of Minimizers for
$n$-level Quantum Systems with an Arbitrary Cost, ESAIM:
Control, Optimisation and Calculus of Variations (COCV), VOL.10, pp.
593-614
(2004).
[9] U. Boscain, T. Chambrion, J-P Gauthier, On the
K+P problem for a three-level quantum system: optimality implies
resonance, Journal of Dynamical and Control Systems n. 8, pp.547--572
(2002)
[8] U. Boscain,
Gregoire Charlot, Jean-Paul Gauthier,
Stephane Guerin, Hans--Rudolf Jauslin,
Optimal Control in laser-induced population
transfer for two- and three-level quantum systems (.ps),
Journal of Mathematical Physics, n. 43, pp. 2107--2132 (2002)
[7] U. Boscain, Y.Chitour,
On the minimum time problem
for driftless left-invariant control systems on SO(3) (.ps),
Communication on Pure and Applied Analysis, n. 1
pp. 285--312 (2002)
[6] U. Boscain,
Stability of Planar Switched Systems: the linear Single Input Case (.ps)
SIAM SICON, Journal on Control and Optimization, n. 41 pp.89--112.
(2002)
REMARK: the conditions in the RCcase given in the paper [6] are not
correct. For the corrected statment and proof of the RCcase, see the
paper: P. Mason, U. Boscain, Y.Chitour,
``Common Polynomial Lyapunov
Functions for Linear Switched Systems'', Preprint SISSA 52/2004/M,
[5] U. Boscain and B. Piccoli,
On Automaton Recognizability of Abnormal Extremals (.ps),
SIAM SICON, Journal on Control and Optimization, n. 40, pp. 1333--1357
(2002)
[4] U. Boscain, Projection singularities of extremals and Morse
property for minimum time, Proceedings of the Steklov Mathematical
Institute, n. 236, pp.399-407 (2002)
[3] U. Boscain, B. Piccoli,
Morse Properties for the Minimum Time Function on
2--D Manifolds (.ps),
Journal of Dynamical and Control Systems, Vol.7 (2001),
no. 3, 385--423.
[2] U. Boscain and B. Piccoli,
Extremal Synthesis for Generic Planar Systems (.ps)
Journal of Dynamical and Control Systems, Vol.7 (2001), no. 2, 209--258
(.pdf)
[1] U. Boscain, B. Piccoli,
Geometric Control Approach To
Synthesis Theory, (.ps)
Rendiconti del Seminario
Matematico dell'Universita e del Politecnico di
Torino, Torino, 1998, V.56, 4 (1998), pp. 53-67.
Papers in Refereed Conference Proceedings:
[55] U. Boscain, E. Pozzoli, M. Sigalotti, Reachable sets for a 3D accidentally symmetric molecule. The 21st IFAC World Congress 2020.
[54] N. Augier, U. Boscain, M. Sigalotti. On the compatibility between the adiabatic and the rotating wave approximations in quantum control. 58th IEEE Conference on Decision and Control December 11-13, 2019, Nice, France.
[53] U. Boscain, J.P Gauthier, D. Prandi, Image inpainting via a control-theoretical model of human vision 2018 IEEE 14th International Conference on Control and Automation (ICCA) June 12-15, 2018. Anchorage, Alaska, USA.
[52] A. Agrachev U. Boscain, JP. Gauthier, M. Sigalotti. A Note on Time-Zero Controllability and Density of Orbits for Quantum Systems 56th IEEE Conference on Decision and Control December 12-15, 2017, Melbourne, Australia.
[51] U. Boscain, M. Sigalotti. Ensemble Control of Parameter-Dependent Quantum Systems by Adiabatic Evolution. 56th IEEE Conference on Decision and Control December 12-15, 2017, Melbourne, Australia.
[50] N. Pouradier Duteil, R. Francesco, U. Boscain, B. Piccoli, Developmental Partial Differential Equations, 54th IEEE Confer- ence on Decision and Control, December 2015. Japan.
[49] D. Barilari, U. Boscain, E. Le Donne, M. Sigalotti, Time-Optimal Synthesis for Three Relevant Problems: The Brockett Integrator, the Grushin Plane and the Martinet Distribution 54th IEEE Conference on Decision and Control, December 2015. Japan.
[48] U. Boscain, J.P. Gauthier, F. Rossi, M. Sigalotti, Equivalence between Exact and Approximate Controllability for Finite- Dimensional Quantum Systems 54th IEEE Conference on Decision and Control, December 2015. Japan.
[47] D. Prandi, U. Boscain, J.P. Gauthier, Image processing in the semidiscrete group of rototranslations. Geometric science of information, 627-634, Lecture Notes in Comput. Sci., 9389, Springer, Cham, 2015.
[46] U. Boscain, J.P. Gauthier, D. Prandi A. Remizov, Image Reconstruction
Via Non-Isotropic Diffusion in Dubins/Reed-Shepp- Like Control Systems,
53th IEEE Conference on Decision and Control, December 2014. Los
Angeles Usa.
[45] Ugo Boscain, Jean-Paul Gauthier, Francesco Rossi, Mario Sigalotti, Controllability of quantum
mechanical
systems: from conical eigenvalue intersections to Lie bracket conditions, Proceedings of the 21st
International Symposium on Mathematical Theory of Networks and Systems (MTNS), Groningen, The
Netherlands, 2014.
[44] U. V. Boscain, P. Mason, G. Panati, and M. Sigalotti, Controllability
properties of spin-boson systems, Proceedings of the 21st International
Symposium on Mathematical Theory of Networks and Systems (MTNS),
Groningen, The Netherlands, 2014.
[43] U. Boscain, P. Mason, G. Panati, and M. Sigalotti, On the control of
spin-boson systems, Proceedings of the 12th European Control Conference,
Zurich, Switzerland, 2013, pp. 2110-2115.
[42] U. Boscain, T. Chambrion, M. Sigalotti, On some open questions in
bilinear quantum control, Proceedings of the European Control Conference
17-19 July 2013, IEEE, pp. 2080 - 2085.
[41] U. Boscain, J. Newling, P. Nilsson, M.Sigalotti, Invariant sets of
affine switched systems, 52th IEEE Conferenceon Decision and Control,
December 2013. Firenze, Italy.
[40] U. Boscain, R. Long, Time minimal trajectories for two-level
quantum systems with two bounded controls. 51th IEEE Conference on
Decision and Control, December 2012. Maui, HAWAII, Usa.
[39] F. Chittaro, P. Mason, U. Boscain, , M. Sigalotti, Controllability
of the Schroedinger equation via adiabatic methods and conical
intersections of the eigenvalues. 51th IEEE Conference on Decision and
Control, December 2012. Maui, HAWAII, Usa.
[38] U. Boscain, R. Duits, F. Rossi, Y. Sachkov, Optimal control for
reconstruction of curves without cusps. 51th IEEE Conference on
Decision and Control, December 2012. Maui, HAWAII, Usa. To appear.
[37] U. Boscain, M. Caponigro, M. Sigalotti, Controllability of the
bilinear Schrdinger equation with several controls and ap- plication to a
3D molecule. 51th IEEE Conference on Decision and Control, December
2012. Maui, HAWAII, Usa.
[36] M. Caponigro, U. Boscain, T. Chambrion, and M. Sigalotti, Control of
the bilinear Schrdinger equation for fully coupling potentials,
Proceedings of the 18th IFAC World Congress, Milano, Italy, 2011.
[35] U. Boscain, J. Duplaix, J.P. Gauthier, F. Rossi, Image reconstruction
via hypoelliptic diffusion on the bundle of directions of the plane.
Mathematical image processing, 7590, Springer Proc. Math., 5, Springer,
Heidelberg, 2011
[34] U. Boscain, F. Chittaro, P. Mason, R. Paqueau, M. Sigalotti,
Motion Planning in Quantum Control Via Intersection of Eigenvalues.
49th IEEE Conference on Decision and Control, December 15-17, 2010.
Atlanta (USA).
[33] U. Boscain, J. Duplaix, J.P. Gauthier, F. Rossi, Image
Reconstruction Via Optimal Control on the Bundle of Directions of the
Plane. 49th IEEE Conference on Decision and Control, December 15-17,
2010. Atlanta (USA).
[32] Mario Sigalotti, Paolo Mason, Ugo Boscain, Thomas Chambrion
``Generic controllability properties for the bilinear Schroedinger''
To appear on proceedings of Physcon 2009, World Scientific.
[31] Thomas Chambrion, Paolo Mason, Mario Sigalotti and Ugo Boscain,
``What can we hope about output tracking of bilinear quantum systems?''
To appear on proceedings of Physcon 2009, World Scientific.
[30] A. Agrachev, U. Boscain, G. Charlot, R. Ghezzi, M.
Sigalotti, ``Two-Dimensional Almost-Riemannian Structures with Tangency
Points''
to appear on Proceedings of the
48th IEEE Conference on Decision and Control, December 16-18, 2009.
Shangai, China.
[29] M. Sigalotti, P. Mason, U. Boscain, T. Chambrion,
``Generic Controllability Properties for the Bilinear Schredinger
Equation'', to appear on Proceedings of the
48th IEEE Conference on Decision and Control, December 16-18, 2009.
Shangai, China.
[28] Ugo Boscain, Gregoire Charlot and Francesco Rossi
``Minimization of length and curvature on planar curves'',
to appear on Proceedings of the
48th IEEE Conference on Decision and Control, December 16-18, 2009.
Shangai, China.
[27] U. Boscain, T. Chambrion, P. Mason, M. Sigalotti, D.
Sugny, ``Controllability of the rotation of a quantum planar molecule''
to appear on Proceedings of the
48th IEEE Conference on Decision and Control, December 16-18, 2009.
Shangai, China.
[26] U. Boscain, F. Rossi, ``Shortest paths on 3-D simple Lie
groups with
nonholonomic constraint'', Proceedings of the
47th IEEE Conference on Decision and Control, December 9-11, 2008. Cancun,
Mexico.
[25] U. Boscain, T. Chambrion, P. Mason, M. Sigalotti
``Controllability properties of discrete-spectrum
Schroedinger equations, Proceedings of the
47th IEEE Conference on Decision and Control, December 9-11, 2008. Cancun,
Mexico.
[24] U. Boscain, Y. Chitour, P. Mason, R. Salmoni, {\it Limit
Time Optimal Synthesis for a Two-Level
Quantum System}, Proceedings of the
47th IEEE Conference on Decision and Control, December 9-11, 2008. Cancun,
Mexico.
[23] U. Boscain, F. Rossi, ``Sub-Riemannian geometry on 3-D
simple Lie groups'', Proceedings of MTNS 2008. 28/07--01/08 2008.
Blacksburg Virginia, USA.
[22] U. Boscain, F. Rossi, ``Minimization of length and curvature
on the 2-sphere'', Proceedings of MTNS 2008. 28/07--01/08 2008. Blacksburg
Virginia, USA.
[21] A. Agrachev, U. Boscain, M. Sigalotti,
Two-Dimensional Almost-Riemannian Manifolds. Lecture Notes of
Seminario Interdisciplinare di Matematica, Vol.6 (2007), pp.
17-31.
[20] U. Boscain, S. Polidoro, ``Nonlocal Harnack Inequalities for
a Class of Partial Differential Equation,'' to appear on Proccedings of
"ISAAC 2005 Conference," July 25-30, 2005.
[19] U. Boscain, G. Charlot, M. Sigalotti, ``Stability of Nonlinear
Switched Systems on the Plane'', Proceedings of the
44rd IEEE Conference on Decision and Control December 12-15, Seville,
(Spain). 2005
[18] R. Adami, U. Boscain,
Controllability of the Schroedinger
Equation via Intersection of Eigenvalues, Proceedings of the 44rd IEEE Conference on Decision and Control
December 12-15, Seville, (Spain). Also on
"Control Systems:
Theory, Numerics and Applications, Roma, Italia
30 Mar - 1 Apr 2005, POS, Proceeding of
science. 2005
[17] U. Boscain, P.Mason, ``Time Minimal Trajectories
for two-level Quantum Systems with Drift'',
Proceedings of the 44rd IEEE Conference on Decision and Control
December 12-15, Seville, (Spain). 2005.
[16]
U. Boscain, I. Nikolaev, B. Piccoli,
``Classification of Stable Time--Optimal Controls on 2-manifolds'',
Proceedings of the 43rd IEEE Conference on Decision and Control
December 14-17,
Atlantis, Paradise Island, Bahamas (2004), pp.455-460.
[15] P. Mason, U. Boscain, Y.Chitour, ``On the Minimal Degree of a Common
Polynomial Lyapunov
Functions for Planar Switched Systems'',
Proceedings of the 43rd IEEE Conference on Decision and Control
December 14-17,
Atlantis, Paradise Island, Bahamas (2004), pp. 2786-2791.
[14] U. Boscain, G. Charlot,
Resonance of Minimizers for N-Level Quantum Systems,
Proceedings of the 42nd IEEE Conference on Decision
and Control Maui, HAWAII, Usa pp.416-421, (2003)
[13] U. Boscain, G. Charlot,
Stability of Planar Nonlinear Switched Systems,
Proceedings of the 42nd IEEE Conference on Decision
and Control Maui, HAWAII, Usa pp.4283-4285 (2003)
[12] U. Boscain, Y. Chitour,
Time Optimal Synthesis for a So(3)-Left-Invariant Control System on a
Sphere, Proceedings of the 42nd IEEE Conference on Decision
and Control Maui, HAWAII, Usa pp. 2740-2745, (2003)
[11] U. Boscain, G. Charlot,
Resonance in n-level quantum systems, Proceedings of the 2003
International conference Physics and Control, St, Petersburg, Russia,
pp. 726-731 (2003)
[10] U. Boscain, G. Charlot,
DESIGN OF LASER PULSES FOR STIRAP PROCESSES WITH GEOMETRIC CONTROL
TECHNIQUES,
Proceedings of the 2003
International conference Physics and Control, St, Petersburg, Russia,
pp. 715-719
(2003)
[9] U. Boscain, T. Chambrion, J-P. Gauthier,
Optimal Control on a
n-Level
Quantum System, (.ps) Lagrangian and Hamiltonian Methods in Nonlinear
Control 2003 Elsevier (IFAC Proceedings Volumes), Sevilla, Spain, pp.
151-156 (2003)
[8] U. Boscain, G. Charlot, J-P. Gauthier, Optimal control of the
Schrodinger equation with two or three levels.
In Nonlinear and adaptive control (Sheffield 2001) Springer (Lecture Notes
in Control and Inform. Sci., 281), Berlin, pp.
33-43 (2003)
[7]
U. Boscain, T. Chambrion, On the K+P Problem for a Three Level Quantum
System, Proceedings of the 41nd IEE Conference on Decision
and Control, Las Vegas, Nevada, USA, pp. 34-39 (2002)
[6] U. Boscain,
Stability of Planar Switched Systems: The Linear
Single Input Case, Proceedings of the 41nd IEE Conference on Decision
and Control, Las Vegas, Nevada, USA, pp. 3312-3317 (2002)
[5] U. Boscain, Y. Chitour, B. Piccoli,
``Time Optimal Control of a Satellite with Two Rotors'',
Proceeding of the European Control Conference, ECC 2001, 4-7
Settembre, 2001 Seminario de Vilar, Porto, Portogallo, 1721-1725.
[4] U. Boscain,
Stability of Switched Systems: The Single Input Case,
Proceeding of the European Control Conference, ECC 2001, 4-7
Settembre, 2001 Seminario de Vilar, Porto, Portogallo, 1726-1731.
[3] U. Boscain, B. Piccoli,
Generic Planar Systems:
Singularities of the Extremal Time,
Proceeding of the European Control Conference, ECC 2001, 4-7
Settembre, 2001 Seminario de Vilar, Porto, Portogallo, 1732-1737.
[2] U. Boscain, B. Piccoli,
``Abnormal Extremals for Generic Planar Systems'',
Proceeding of the 39th IEEE Conference on
Decision and Control, Sidney, Dicembre 2000.
[1] U. Boscain, B. Piccoli,
Projection Singularities of Extremals for Planar Systems (.ps),
Proceeding of the 38th IEEE Conference on
Decision and Control, Phoenix, Dicembre 1999, pag. 2936--2941.
Thesis
Poly d'automatique
U. Boscain, Y. Chitour Introduction a' l'automatique (French)