Curriculum Vitæ

Personal

Born in Roma, Italy in 1983
Married, 3 children (2015, 2017 & 2019)

Positions

Professore Associato since June 2020

Dipartimento di Matematica
Università degli Studi di Roma "Tor Vergata"

Maître de Conférences September 2012 to June 2020

Conservatoire National des Arts et Métiers (CNAM) - Paris
EPN Mathématiques et Statistique
Équipe Modélisation Mathématique et Numérique (M2N)

Délégation CNRS September 2016 to August 2017

Laboratoire Jacques-Louis Lions,
Université Pierre et Marie Curie (Paris 6)

Postdoctoral Research Associate November 2011 to September 2012

Center for Computational and Integrative Biology (CCIB)
and Department of Mathematical Sciences
Rutgers, The State University of New Jersey, Camden, NJ, USA

Post Doc March 2010 to October 2011

INRIA, Nancy, France - Project: CORIDA
and Insitut Élie Cartan, Nancy, France

Research Fellow November 2009 to January 2010

SISSA, Trieste, Italy
Sector of Functional Analysis and Applications

Scientific Degrees

Habilitation à diriger des recherches (HDR) in Mathematics 8 November 2017

Université Pierre et Marie Curie - Sorbonnes Universités, Paris
Thesis: Geometric control of quantum and complex systems

PhD Degree in Applied Mathematics 26 October 2009

SISSA
Thesis: Controllability on the group of diffeomorphisms
Advisor: prof. Andrei A. Agrachev

Master Degree in Mathematics (Laurea Magistrale in Matematica) 24 October 2006

University of Trieste & SISSA
Thesis: Biforcazione globale e applicazioni alla fluidodinamica
            (Global Bifurcation and Applications in Fluid Dynamics)
Advisor: prof. Antonio Ambrosetti 
Grade: 110/110 cum laude

Bachelor Degree in Mathematics (Laurea Triennale in Matematica) 20 October 2004

University of Roma Tre
Grade: 110/110 cum laude

Musical Education

Degree (Diploma di X anno) in Classical Guitar 24 February 2010

Conservatorio “G. Tartini”, Trieste
Maestro: P. L. Corona

Internal Conservatory student in Classical Guitar October 2004 to February 2010

Conservatorio “G. Tartini”, Trieste
Maestro: P. L. Corona

Internal Conservatory student in Classical GuitarOctober 2000 to October 2004

Conservatorio “Santa Cecilia”, Roma
Maestro: A. De Rose

Publications and Preprints

Journal papers

  1. N. Boussaïd, M. Caponigro, T. Chambrion, Regular propagators of bilinear quantum systems Journal of Functional Analysis Volume 278, Issue 6, 1 April 2020, 108412. PDF
  2. M. Caponigro, M. Sigalotti, Exact controllability in projections of the bilinear Schrödinger equation SIAM Journal on Control and Optimization 2018 56:4, 2901-2920. PDF
  3. M. Caponigro, R. Ghezzi, B. Piccoli, E. Trélat, Regularization of chattering phenomena via bounded variation control, IEEE TAC, Volume 63 , Issue 7 , July 2018, pp 2046-2060. PDF
  4. M. Caponigro, B. Piccoli, F. Rossi, E. Trélat, Sparse Jurdjevic–Quinn stabilization of dissipative systems, Automatica, Volume 86, December 2017,pp 110–120. PDF
  5. M. Caponigro, B. Piccoli, F. Rossi, E. Trélat, Mean-Field Sparse Jurdjevic–Quinn Control, Math. Models Methods Appl. Sci. 27 (2017), no. 7, 1223-1253. PDF
  6. 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. PDF
  7. 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). PDF
  8. 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). PDF
  9. M. Caponigro, M. Fornasier, B. Piccoli, E. Trélat, Sparse stabilization and control of alignment models, Math. Models Methods Appl. Sci. 25, 521 (2015). PDF
  10. S. Wongkaew, M. Caponigro, A. Borzì, On the control through leadership of the Hegselmann–Krause opinion formation model, Math. Models Methods Appl. Sci. 25, 565 (2015). PDF
  11. 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. PDF
  12. 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. PDF
  13. 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. PDF
  14. 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. PDF
  15. M. Caponigro, Families of vector fields which generate the group of diffeomorphisms, Proc. Steklov. Inst. Math, 2010, Vol. 270, pp. 141–155. PDF
  16. A.Agrachev, M.Caponigro, Dynamics control by a time varying feedback, JDCS, Vol. 16 (2010), 2 (April) pp. 149-162. PDF
  17. 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. PDF

Notes and Chapters in books

  1. 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
  2. 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

Proceedings

  1. 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. Link
  2. 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
  3. 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
  4. 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
  5. 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 on Hal
  6. 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. PDF on Hal
  7. 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
  8. N. Boussaïd, M. Caponigro, T. Chambrion, Energy estimates for low regularity bilinear Schrdinger equations, Proceedings of the 1st IFAC Workshop on Control of Systems Modeled by Partial Differential Equations, Paris, France, 2013. PDF
  9. N. Boussaïd, M. Caponigro, T. Chambrion, Which notion of energy for bilinear quantum systems?, Proceedings of the 4th IFAC Workshop on La- grangian and Hamiltonian Methods for Non Linear Control, Bertinoro, Italy, 2012. PDF
  10. 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
  11. 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
  12. 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
  13. 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
  14. 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
  15. M. Caponigro, Orientation preserving diffeomorphisms and flows of control-affine systems, Proceedings of the 18th IFAC World Congress. 2011. PDF
  16. 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

Others

  • 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 supervision and referee

Co-advisor with Alfio Borzì of the Phd thesis of Suttida Wongkaew.
Title: On the control through leadership of multi-agent systems.
Thesis defended on October 5th 2015 at University of Wuerzburg, Germany.
Referee of the Phd thesis of Nisrine Outada,
Laboratoire Jacques Louis-Lions, Sorbonne Université, Paris and UMMISCO Faculty of Sciences of Semlalia of Marrakech, Cadi Ayyad University, Morocco.
Title: Complex Systems in Biology and Soft Sciences : Modeling by Hyperbolic and Kinetic Equations, Analytic and Numerical Problems.
Thesis defended on November 2nd 2018 at Cadi Ayyad University, Marocco.

Fellowships and awards

PEDR Prime d'Encadrement Doctoral et de Recherche 2018-2022

PES Prime d'Excellence Scientifique. 2013-2017

Diploma "Percorso Formativo Comune" October 2006

Additional Diploma on Mathematics awarded by SISSA to at the end of "Percorso Formativo Comune".

Fellowship “Percorso Formativo Comune” for graduate students. October 2004 to October 2006

Fellowship awarded by SISSA. Selected by national competition. Fellowship renewed every academic year of the "Laurea Specialistica".

INdAM fellowship for graduate student. October 2004

Fellowship awarded by INdAM. Selected by national competition.

INdAM fellowship for undergraduate student. October 2001 to October 2004

Fellowship awarded by INdAM. Selected by national competition. Fellowship renewed every academic year of the "Laurea Triennale".