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Research interests
My research focuses in understanding open questions from nature using mathematical framework as
- Geometric control theory
- Optimal control
- Qualitative analysis of ODE
- Theory of PDEs
- Numerical analysis
My research is an interdisciplinary work which intersects mathematics,
biology and engineering. In particular, I am interested in the
following fields:
- Micro-swimming
- Microalgae
- Cell growth
Recent papers
- W. Djema, L. Giraldi, S. Maslovskaya, O. Bernard, Turnpike features in optimal selection of species represented by quota models, submitted, 2020.
- L. Giraldi, P. Lissy, C. Moreau and J.-B. Pomet, Necessary
conditions for local controllability of a particular class of systems
with two scalar controls, submitted, 2019 (pdf).
Publication list
- L. Giraldi, F. Jean, Periodical body deformations are optimal strategies for locomotion, accepted in SIAM Journal on control and optimization, 2020, (pdf).
- Y. El Alaoui-Faris, J.-B.
Pomet, S. Régnier, L. Giraldi, Optimal Actuation of Flagellar Magnetic
Micro-Swimmers, Phys. Rev. E, 2020(pdf).
- W. Djema, O. Bernard, L. Giraldi. Separating Two Species of Microalgae in Photobioreactors in Minimal Time. To appear in Journal of Process Control, 2020 (pdf).
- L. Berti, L. Giraldi, C. Prud'Homme, Swimming at low Reynolds number. To Appear in ESAIM:Proc., 2019 (pdf).
- F. Alouges, A. DeSimone, L. Giraldi, Y. Or, O. Weizel. Energy-optimal strokes for multi-link microswimmers: Purcell's loops and Taylor's waves reconciled, New Journal of Physics, 2019 (pdf).
- W. Djema, L. Giraldi, O. Bernard. An Optimal Control Strategy Separating Two Species of Microalgae in Photobioreactors. Proc. Dycops 2019 (pdf).
- C. Moreau, L. Giraldi, H. Gadhêla. The asymptotic
coarse-graining formulation of slender-rods, bio-filaments and
flagella. Journal of The Royal Society Interface 2018 (pdf).
- L. Giraldi, P. Lissy, C. Moreau, J.-B. Pomet. Addendum to ``Local
Controllability of the Two-link Magneto-Elastic Micro-Swimmer''. IEEE
Trans. Autom. Control 2017 (pdf).
- F. Alouges, A. DeSimone, L. Giraldi, M. Zoppello. Purcell
magneto-elastic swimmer controlled by an external magnetic field. Proc. IFAC 20th World Congress, Toulouse, 2017 (pdf).
- T. Chambrion, L. Giraldi, A. Munnier. Optimal strokes for driftless
swimmers: A general geometric approach. ESAIM: COCV, 2016
(pdf).
- L. Giraldi, J.-B. Pomet. Local controllability of the two-link
magneto-elastic swimmer. IEEE Trans. Autom. Control, 2015
(pdf).
- P. Bettiol, B. Bonnard, L. Giraldi, P. Martinon, J. Rouot. The three
links Purcell swimmer and some geometric problems related to periodic
optimal controls. Rad. Ser. Comp. App,18, 2015 (pdf).
- F. Alouges, A. DeSimone, L. Giraldi, M. Zoppello. Can magnetic
multilayers propel micro-swimmers mimicking sperm cells? Soft
Robotics, 2(3): 117-128, 2015 (pdf).
- L. Giraldi, P. Martinon, M. Zoppello. Optimal design of the three-link Purcell swimmer. Phys. Rev. E, 91: 023012, 2015 (pdf).
- D. Gérard-Varet, L. Giraldi. Rough wall effect on micro-swimmers. ESAIM: COCV, 21: 3, 2015 (pdf).
- L. Giraldi, P. Martinon, M. Zoppello. Controllability and optimal
strokes for N-link micro-swimmer. 52nd IEEE Conf. Decis. Control,
Firenze, Italy 2013 (pdf).
- F. Alouges, A. DeSimone, L. Giraldi, M. Zoppello. Self-propulsion of
slender micro-swimmers by curvature control: N-link swimmers. Int. J.
Nonlinear Mech., 56:132--141, 2013 (pdf).
- F. Alouges, L. Giraldi, ''Enhanced controllability of low Reynolds
number swimmers in the presence of a wall'', Acta Appl. Math.
128:153--179, 2013 (pdf).
Book Chapters
- F. Alouges, A. DeSimone, L. Giraldi, P. Martinon, M. Zoppello.
Optimal control for slender microswimmer. Lecture Notes in
Computational Science and Ingeneering. Springer Series. A Gerish, R.
Penta, J. Lang. 2016.
- L. Giraldi. How do sperm cells swim?. Brèves de maths Mathématiques de la planète terre. Nouveau Monde editions, 2014.