ICMAT Member
- Data
Institution: Consejo Superior de Investigaciones Científicas
Position: JAE-PRE
Office: 412 Phone: 792
E-mail: leo.colombo()icmat.es
I am a Phd. student in Mathematics at Instituto de Ciencias Matematicas (ICMAT) of Consejo Superior de Investigaciones Científicas (CSIC), Madrid, Spain. Working towards my thesis about the geometry of mechanical control systems, under the supervision of Dr. David Martin de Diego.
I got my graduate studies in Mathematics at Universidad Nacional de La Plata (UNLP), La Plata, Buenos Aires, Argentina where i am originally from.
- Personal webpage
- http://www.icmat.es/leocolombo
- Research Interest
Areas of specialization
- Geometry Mechanics
- Discrete Mechanics
- Control Theory
- Differential Geometry
Areas of competence
- Mechanical systems on Lie groups
- Lie groupoids and Lie algebroids
- Grometric mechanics & integration
- Optimal control theory
- Publications
Published papers
1-Optimal Control of Underactuated Mechanical Systems: A Geometric Approach.
Journal Mathematical Physics. Vol 51, 083519, 2010. (with D. Martín de Diego and M. Zuccalli). http://jmp.aip.org/resource/1/jmapaq/v51/i8/p083519_s1?isAuthorized=no . http://arxiv.org/abs/0912.2033
2-On Variational Integrators for Optimal Control of Mechanical Control Systems.
Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas: Volume 106, Issue 1 (2012), Page 161-171 (with D. Martín de Diego and M. Zuccalli). http://www.springerlink.com/content/c4158266442378p4/
3- Discrete Second-Order Euler-Poincaré Equations. An application to optimal control (with F. Jiménez and D. Martín de Diego).
International Journal of Geometric Methods in Modern Physics. Vol 9, Nº4 (2012)- arXiv:1109.4716
Conference Proceedings
4-Quasivelocities and optimal contol of underactuated mechanical systems. Proceddings of the American Institute of Physics, Geometry and Physics, 1260, 133-140, 2011. (with David Martín de Diego)
5-Second-order Euler-Poincaré equations for trivial principal bundles. Proceddings of the American Institue of Physics. Geometry and Physics. To appear, 2012. (with Fernando Jiménez and David Martín de Diego)
Submitted papers
6- On the Goemetry of Higher-Order Problems on Lie Groups (with D. Martín de Diego). http://arxiv.org/abs/1104.3221
Advanced projects
- Higher-order discrete variational problems with constraints (with D. Martín de Diego and M. Zuccalli).
- Higher-order problems on Lie groupoids: A geometric and variational approach (with D. Martín de Diego).
Divulgateve Articles
1-Sobre el uso de la descomposición en valores singulares para el tratamiento de imagenes.
Matematicalia, Digital Journal. Vol.7, nº4, 2012. (with Ramiro Lafuente). http://www.matematicalia.net/articulos/v7n4dic2011/lcolombo.pdf
