## Curriculum Vitæ

### Personal

Born in Roma, Italy in 1983

Married, 4 children

Married, 4 children

### Positions

Dipartimento di Matematica

Università degli Studi di Roma "Tor Vergata"

Università degli Studi di Roma "Tor Vergata"

Conservatoire National des Arts et Métiers (CNAM) - Paris

EPN Mathématiques et Statistique

Équipe Modélisation Mathématique et Numérique (M2N)

EPN Mathématiques et Statistique

Équipe Modélisation Mathématique et Numérique (M2N)

Laboratoire Jacques-Louis Lions,

Université Pierre et Marie Curie (Paris 6)

Université Pierre et Marie Curie (Paris 6)

Center for Computational and Integrative Biology
(CCIB)

and Department of Mathematical Sciences

Rutgers, The State University of New Jersey, Camden, NJ, USA

and Department of Mathematical Sciences

Rutgers, The State University of New Jersey, Camden, NJ, USA

INRIA, Nancy, France - Project: CORIDA

and Insitut Élie Cartan, Nancy, France

and Insitut Élie Cartan, Nancy, France

SISSA, Trieste, Italy

Sector of Functional Analysis and Applications

Sector of Functional Analysis and Applications

### Scientific Degrees

Université Pierre et Marie Curie - Sorbonnes Universités, Paris

Thesis: Geometric control of quantum and complex systems

Thesis: Geometric control of quantum and complex systems

SISSA

Thesis: Controllability on the group of diffeomorphisms

Advisor: prof. Andrei A. Agrachev

Thesis: Controllability on the group of diffeomorphisms

Advisor: prof. Andrei A. Agrachev

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

University of Roma Tre

Grade: 110/110 cum laude

Grade: 110/110 cum laude

### Musical Education

Conservatorio “G. Tartini”, Trieste

Maestro: P. L. Corona

Maestro: P. L. Corona

Conservatorio “G. Tartini”, Trieste

Maestro: P. L. Corona

Maestro: P. L. Corona

Conservatorio “Santa Cecilia”, Roma

Maestro: A. De Rose

Maestro: A. De Rose

### Publications and Preprints

#### 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. PDF
- 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
- 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
- M. Caponigro, B. Piccoli, F. Rossi, E. Trélat, Sparse Jurdjevic–Quinn stabilization of dissipative systems, Automatica, Volume 86, December 2017,pp 110–120. PDF
- 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
- 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
- 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
- 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
- M. Caponigro, M. Fornasier, B. Piccoli, E. Trélat, Sparse stabilization and control of alignment models, Math. Models Methods Appl. Sci. 25, 521 (2015). PDF
- 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
- 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
- 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
- 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
- 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
- M. Caponigro, Families of vector fields which generate the group of diffeomorphisms, Proc. Steklov. Inst. Math, 2010, Vol. 270, pp. 141–155. PDF
- A.Agrachev, M.Caponigro, Dynamics control by a time varying feedback, JDCS, Vol. 16 (2010), 2 (April) pp. 149-162. PDF
- 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

- 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
- 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

- 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, 2020 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, 2020. PDF
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- M. Caponigro, Orientation preserving diffeomorphisms and flows of control-affine systems, Proceedings of the 18th IFAC World Congress. 2011. PDF
- 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:

Thesis defended on October 5th 2015 at University of Wuerzburg, Germany.

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:

Thesis defended on November 2nd 2018 at Cadi Ayyad University, Marocco.

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

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

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

Fellowship awarded by INdAM. Selected by national competition.

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