List of Publications

Journal Papers

N. Boussaïd, M. Caponigro, T. Chambrion, Regular propagators of bilinear quantum systems Journal of Functional Analysis Volume 278, Issue 6, 1 April 2020, 108412.
Journal | Preprint (PDF, Hal ) | Bibtex

M. Caponigro, M. Sigalotti, Exact controllability in projections of the bilinear Schrödinger equation SIAM J. Control Optim., 56(4), 2018, pp 2901–2920.
Journal | Preprint (PDF, Hal ) | Bibtex

M. Caponigro, R. Ghezzi, B. Piccoli, E. Trélat, Regularization of chattering phenomena via bounded variation control, IEEE Transactions on Automatic Control, Volume 63 , Issue 7 , July 2018, pp 2046-2060.

Journal | Preprint (PDF, Arxiv ) | Bibtex

M. Caponigro, B. Piccoli, F. Rossi, E. Trélat, Sparse Jurdjevic–Quinn stabilization of dissipative systems, Automatica, Volume 86, December 2017, pp 110–120.

Journal | Preprint (PDF, Hal ) | Bibtex

M. Caponigro, B. Piccoli, F. Rossi, E. Trélat, Mean-Field Sparse Jurdjevic–Quinn Control, Mathematical Models and Methods in Applied Sciences, Volume 27, Issue 07, 1223-1253 (2017).

Journal | Preprint (PDF , Hal ) | Bibtex

S. Wongkaew, M. Caponigro, K. Kułakowski, A. Borzì, On the control of the Heider balance model, The European Physical Journal Special Topics, December 2015, Vol 224, Issue 17, pp 3325-3342.

Journal | Preprint (PDF) | Bibtex

M. Bravo, M. Caponigro, E. Leibowitz, B. Piccoli, Keep right or left? Towards a cognitive-mathematical model for pedestrians, Networks and Heterogeneous Media, Vol 10, No. 3, pp. 559–578 (September 2015).

Journal | Preprint (PDF) | Bibtex

M. Caponigro, A. C. Lai, B. Piccoli, A nonlinear model of opinion formation on the sphere, Discrete Contin. Dyn. Syst. Ser. A. Vol, No. 09, pp. 4241–4268 (2015).

Journal | Preprint (PDF) | Bibtex

M. Caponigro, M. Fornasier, B. Piccoli, E. Trélat, Sparse stabilization and control of alignment models, Mathematical Models and Methods in Applied Sciences, Volume 25, Issue 03, 521-564 (2015).

Journal | Preprint (PDF) | Bibtex

S. Wongkaew, M. Caponigro, A. Borzì, On the control through leadership of the Hegselmann–Krause opinion formation model, Mathematical Models and Methods in Applied Sciences, Volume 25, Issue 03, 565-585 (2015).

Journal | Preprint (PDF) | Bibtex

U. Boscain, M. Caponigro, M. Sigalotti, Multi-input Schrödinger equation: controllability, tracking, and application to the quantum angular momentum, Journal of Differential Equations 256 (2014), pp. 3524–3551.

Journal | Preprint (PDF) | Bibtex

M. Caponigro, M. Fornasier, B. Piccoli, E. Trélat, Sparse stabilization and optimal control of the Cucker–Smale model, Math. Cont. Related Fields 3 (2013), no. 4, 447-466.

Journal | Preprint (PDF) | Bibtex

N. Boussaïd, M. Caponigro, T. Chambrion, Weakly-coupled systems in quantum control, IEEE Transactions on Automatic Control. Volume 58, Issue 9 (Sept. 2013), 2205–2216.

Journal | Preprint (PDF) | Bibtex

U. Boscain, M. Caponigro T. Chambrion, M. Sigalotti, A weak spectral condition for the controllability of the bilinear Schrödinger equation with application to the control of a rotating planar molecule, Communications in Mathematical Physics 311.2 (2012): 423-455.

Journal | Preprint (PDF) | Bibtex

M. Caponigro, Families of vector fields which generate the group of diffeomorphisms, Proc. Steklov. Inst. Math, 2010, Vol. 270, pp. 141–155.

Journal | Preprint (PDF) | Bibtex

A.Agrachev, M.Caponigro, Dynamics control by a time varying feedback, JDCS, Vol. 16 (2010), 2 (April) pp. 149-162.

Journal | Preprint (PDF) | Bibtex

A.Agrachev, M.Caponigro, Controllability on the group of diffeomorphisms, Annales de l’Institut Henri Poincaré (C) Analyse Non Linéaire, 26 (2009), pp. 2503-2509.

Journal | Preprint (PDF) | Bibtex

Notes and Chapters in books

A. Aydogdu, M. Caponigro, S. McQuade, B. Piccoli, N. Pouradier Duteil, F. Rossi, E. Trélat Interaction Network, State Space and Control in Social Dynamics in "Active Particles - Volume 1 - Theory, Models, Applications", Editors: N. Bellomo, P. Degond, and E. Tadmor, Birkhäuser-Springer, Boston, USA. 2016.

PDF | Arxiv

A. Borzì, M. Caponigro, A control theoretical approach to crowd management Comment on “Human behaviours in evacuation crowd dynamics: From modelling to “big data” toward crisis management” by Nicola Bellomo et al., Physics of Life Reviews, Volume 18, September 2016, Pages 27-28.

PDF | Link

Conference Proceedings

N. Boussaïd, M. Caponigro, T. Chambrion, On the Ball-Marsden-Slemrod obstruction for bilinear control systems, Proceedings of the 58th IEEE Conference on Decision and Control, Nice, France, 2019.

Hal | Link

N. Boussaïd, M. Caponigro, T. Chambrion, Impulsive control of the bilinear Schrödinger equation: propagators and attainable sets, Proceedings of the 58th IEEE Conference on Decision and Control, Nice, France, 2019.

PDF | Hal | Link

M. Caponigro, M. Sigalotti, Controllability in projection of the simple spectrum bilinear Schrödinger equation, Proceedings of the 20th World Congress of the International Federation of Automatic Control, Toulouse, France, 2017.

PDF | Link

M. Caponigro, B. Piccoli, F. Rossi, E. Trélat, Sparse feedback stabilization of multi-agent dynamics, Proceedings of the 55th IEEE Conference on Decision and Control, Las Vegas, Nevada, 2016.

PDF | Link

N. Boussaïd, M. Caponigro, T. Chambrion, An Approximate Controllability Result with Continuous Spectrum : The Morse Potential with Dipolar Interaction, Proceedings of the 2015 SIAM Conference on Control and Its Applications, Paris, France, 2015.

PDF | Hal | Link

N. Boussaïd, M. Caponigro, T. Chambrion, Efficient finite dimensional approximations for the bilinear Schrödinger equation with bounded variation controls, Proceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems (MTNS2014), pp.1889-1891, 2014.
Hal

N. Boussaïd, M. Caponigro, T. Chambrion, Total Variation of the Control and Energy of Bilinear Quantum Systems, Proceedings of the 52nd IEEE Conference on Decision and Control, Florence, Italy, 2013.

PDF | Hal | Arxiv

N. Boussaïd, M. Caponigro, T. Chambrion, Energy estimates for low regularity bilinear Schrödinger equations, Proceedings of the 1st IFAC Workshop on Control of Systems Modeled by Partial Differential Equations, Paris, France, 2013.

PDF | Hal | Arxiv

N. Boussaïd, M. Caponigro, T. Chambrion, Which notion of energy for bilinear quantum systems?, Proceedings of the 4th IFAC Workshop on Lagrangian and Hamiltonian Methods for Non Linear Control, Bertinoro, Italy, 2012.

PDF | Hal | Arxiv

N. Boussaïd, M. Caponigro, T. Chambrion, Small time reachable set of bilinear quantum systems, Proceedings of the 51st IEEE Conference on Decision and Control, Maui, Hawaii, 2012.

PDF | Hal | Arxiv

M. Caponigro, U. Boscain, M. Sigalotti, Controllability of the bilinear Schrödinger equation with several controls and application to a 3D molecule, Proceedings of the 51st IEEE Conference on Decision and Control, Maui, Hawaii, 2012.

PDF | Hal | Arxiv

N. Boussaïd, M. Caponigro, T. Chambrion, Approximate controllability of the Schrödinger equation with a polarizability terms, Proceedings of the 51st IEEE Conference on Decision and Control, Maui, Hawaii, 2012.

PDF | Hal

N. Boussaïd, M. Caponigro, T. Chambrion, Periodic control laws for bilinear quantum systems with discrete spectrum Proceedings of the 2012 American Control Conference, Montreal, Canada, 2012.

PDF | Hal | Arxiv

N. Boussaïd, M. Caponigro, T. Chambrion, Implementation of logical gates on infinite dimensional quantum oscillators, Proceedings of the 2012 American Control Conference, Montreal, Canada, 2012.

PDF | Hal | Arxiv

M. Caponigro, Orientation preserving diffeomorphisms and flows of control-affine systems, Proceedings of the 18th IFAC World Congress. 2011.

PDF | Link

M. Caponigro, U. Boscain, T. Chambrion, M. Sigalotti, Control of the bilinear Schrödinger equation for fully coupling potentials, Proceedings of IFAC 18th world congress. 2011.

PDF | Link

Software

Q-Track. Software for the computation of control laws for the bilinear Schrödinger equation. In collaboration with U. Boscain, T. Chambrion, and M. Sigalotti. Registered at the French “Agence pour la Protection des Programmes” on March, 12, 2011, ref: IDDN.FR.001.110021.000.S.P.2011.000.10000.

Phd Thesis

Controllability on the Group of Diffeomorphisms 
Thesis defended on October 26, 2009 
at SISSA, Trieste
Advisor: Andrei A. Agrachev

Research Interests

Geometric Control Theory

Controllability on the group of diffeomorphisms, applications to fluid dynamics. Geometric methods in optimal control.

Control of PDEs

Bilinear Schrödinger equation: controllability, applications, numerics.

Multi-agent systems

Opinion dynamics and alignement systems: modelisation, sparse stabilization, controllability, and optimal control.

Posters and Slides

Sparse Control of Alignement Models
Presentation at MCT Mathematical Control in Trieste
Trieste, Italy, December 2013

[Slides]

Contrôlabilité approchée de l’équation de Schrödinger bilinéaire
Seminar of the Groupe de Travail en Contrôle, Paris 6
Paris, France, March 2011

[Slides] (in french)

Controllability on the group of diffeomorphisms
Presentation at 4th Summer School on Geometry, Mechanics and Control
Santiago de Compostela, Spain, July 2010

[Slides]

Phd thesis defence
Trieste, Italy, 26 oct 2009

[Slides]

Open Day SISSA 2008 (with R. Ghezzi)
Trieste, Italy, 20 sep 2008

[Poster] (in italian, divulgation)