Professor of Nonsmooth Systems, Politecnico di Milano, Italy. Series of seminars within the master course of Systems theory (nonlinear dynamics).
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1 Alessandro Colombo Curriculum Vitæ Politecnico di Milano Dept. of Electronics, Information, and Bioengineering via Ponzio 34/ Milano, Italy Research Interests I work with large, complex, and hybrid systems, inventing new ways to understand their dynamics and control their behaviour. I have applied my ideas to models of electronic circuits, human and animal populations, cars and multi-agent systems. Academic Background 2012 now Assistant Professor, Politecnico di Milano, Italy Postdoctoral Associate, Massachusetts Institute of Technology, Cambridge, MA, USA Visiting Fellow, Univeristy of Bristol, UK Postdoc, Politecnico di Milano, Italy PhD (cum laude), Politecnico di Milano, Italy. PhD by research on Bifurcation Analysis of Discontinuous Systems funded by the Italian Ministry of Research and Education, under the supervision of Prof. S. Rinaldi (Politecnico di Milano, Italy). Research topics included the definition of discontinuous systems and the study of their topological properties, the analysis and classification of discontinuity induced bifurcations, and different applications in electronics, ecology, mechanics and sociology. The dissertation won the 2009 Chorafas Foundation Award Diplôme d Ingénieur (Master s degree in Engineering), ENSTA, Paris, France. Master s degree in Engineering at the École Nationale Supérieure de Techniques Avancées. Final project on Analysis of Complex Dynamics in Nonsmooth Dynamical Systems, supervised by Prof. S. J. Hogan (University of Bristol, UK) graded 17.5/20, ECTS grading A, best 10% Laurea (Bachelor s degree) in Electronics Engineering, Politecnico di Milano, Italy. Bachelor s degree in Electronics Engineering, final project on A Minimal Model of Elections in Two-Party Democracies, graded 110/110 cum laude 2014-now 2012-now Teaching Experience Professor of Nonsmooth Systems, Politecnico di Milano, Italy. Series of seminars within the master course of Systems theory (nonlinear dynamics). Professor of Systems Analysis, Politecnico di Milano, Italy. Undergraduate class for Civil and Environmental Engineering Supervisor in the Multi-vehicle Control Lab, MIT, USA. Supervisor of undergrad projects at the MIT Multi-vehicle Control Lab Lecturer of Analysis of Cooperative Systems, Politecnico di Milano, Italy. Master course on dynamics of linear and nonlinear cooperative systems Tutor of the Alta Scuola Politecnica. Tutor of the Alta Scuola Politecnica, school gathering the best students of Politecnico di Milano and Politecnico di Torino. My role consisted in advising and evaluating students on projects in the domain of dynamical systems Co-organiser and lecturer of PhD courses on nonlinear dynamics, Politecnico di Milano, Italy. Three-day full time courses on different aspects of nonlinear dynamics (Introduction to Nonlinear Dynamics in 2007 and 2009, Analysis of Paradigmatic Models in Social Sciences in 2008, Analysis of Complex Networks in 2010) 1/6
2 Teaching Assistant of Principles of Automation, Politecnico di Milano, Italy. Courses offered to second year students, approx. 120 students per course. Subjects include linear systems, stability, and control Organization of International Meetings and Invited Sessions 2016 Advances in Nonsmooth Dynamics, Barcelona, Spain. Co-organizer of a 3-month long program, with M. R. Jeffrey, J. P. Olm, and T. Lazaro 2014 IEEE International Meeting on Analysis and Applications of Nonsmooth Systems, Como, Italy. Organizer and Chair of the meeting 2013 Topics in nonlinear dynamics, Urbino, Italy. Co-organizer 2013 Nonsmooth Dynamical Systems: Uncertainties, Singularities and Bifurcations, Snowbird, USA. Co-organizer of an invited session at SIAM DS Geometry and bifurcations of nonsmooth systems, Milan, Italy. Organizer of an invited session at IFAC World Congress Trends in Bifurcation Analysis: Methods and Applications, Milan, Italy. Co-organizer of an international meeting, with F. Dercole 2014 today Other Professional Activities Member of the IEEE Nonlinear Circuits and Systems Technical Committee today 2002 today Reviewer. Annual Reviews in Control, Automatica, IEEE Transactions on Automatic Control, IEEE Transactions on Circuits and Systems I & II, International Journal of Bifurcation and Chaos, International Journal of Robust and Nonlinear Control, Journal of Computational and Nonlinear Dynamics, Journal of Mathematical Chemistry, Theoretical Population Biology, Systems and Control Letters Member of the Institute of Electrical and Electronics Engineers (IEEE) and the Italian Society for Chaos and Complexity (SICC) Design of an AUV s electronic infrastructure. Responsible for the design of the electronic infrastructure of an Autonomous Underwater Vehicle (AUV) for the IFN (Institut Français de Navigation), in a project with the junior enterprise TAEP at ENSTA 2004 Internship at the Department of Electronics, ENSTA, Paris, France. Two-month long internship for the development of an interface card for a cmos camera Dec Dec Jun Jan Jul Jun Invited talks Nagoya University, Nagoya, Japan. Tokyo Institute of Technology, Tokyo, Japan. Ecole des Mines, Paris, France. Chalmers, Gotheborg, Sweden. Safety verification of multi-vehicle systems by scheduling MIT, Cambridge, MA, USA. Safety verification of multi-vehicle systems by scheduling ACC, Montreal, Canada. Efficient Algorithms for Collision Avoidance at Traffic Intersections (in the workshop "Analysis and Design of Cyber-Physical Transportation Systems: Challenges, Progress, and Future Directions") 2/6
3 Feb May 2011 Jun Jun May 2009 Feb Nov May 2008 Nov Schlumberger-Doll Research, Cambridge, USA. Least restrictive and provably safe supervisory control; Schlumberger-Doll Research SIAM DS11, Utah, USA. Piecewise smooth systems, set valued fields, and nondeterministic chaos IFAC Chaos09, Queen Mary University, London, UK. Border collision of nonhyperbolic fixed points International Workshop on Resonance Oscillations and Stability of Nonsmooth Systems, London, UK. Invariant manifolds and nondeterministic dynamics around the Teixeira Singularity SIAM DS09, Utah, USA. Train dynamics and discontinuity induced bifurcations A hybrid model of two-party democracies A normal form of the Teixeira singularity Bristol Centre for Applied Nonlinear Mathematics, UK. Border-collision of non-hyperbolic fixed points: the greatest common factor Dipartimento di Informatica e Sistemistica, Universit Federico II, Naples, Italy. Synchronization in ecological networks 2005 today Nov Workshops and Research Visits Numerous visits in the context of an ongoing collaboration with Prof. Mario di Bernardo, Prof. John Hogan, and Dr. Mike Jeffrey on different projects in the domain of nonsmooth systems Dept. of Applied Mathematics, University of Sevilla, Spain. Applications of discontinuous systems. Feb Mar Centre de Recerca Mátematica, Barcelona, Spain. Participant of the Non-Smooth Complex Systems Research Programme for a seven weeks period, focusing on topological aspects of nonsmooth systems Jul Workshop on Complex Networks: Analysis, Control and Applications, University of Bristol, UK. Jun. Aug Italian Young Scientists Summer program, IIASA, Laxenburg, Austria Young Scientists Summer Program at the International Institute for Applied Systems Analysis (IIASA), in the Evolution and Ecology Program leaded by Dr. Ulf Dieckmann. Research project on Synchronization in Networks of Animal Populations Languages Mother Tongue English Proficient TOEFL 283/300 in 2002, TOEIC 950/990 in 2004 French Spanish Proficient Basic Publications Journals F. Bizzarri, A. Colombo, F. Dercole, and G. Storti Gajani Necessary and sufficient conditions for the noninvertibility of fundamental solution matrices of a discontinuous system. Siam Sournal on Applied Dynamical Systems, accepted. 3/6
4 C. Piccardi, A. Colombo and R. Casagrandi. Connectivity interplays with age in shaping contagion over networks with vital dynamics. Physical Review E, 91:022809, A. Colombo and D. Del Vecchio. Least restrictive supervisors for intersection collision avoidance: A scheduling approach. IEEE Transactions on Automatic Control, 60: , A. Colombo and M. R. Jeffrey. The two-fold singularity of nonsmooth flows: Leading order dynamics in n-dimensions. Physica D, 263:1 10, A. Colombo, M. di Bernardo, S. J. Hogan, and M. R. Jeffrey. Bifurcations of piecewise smooth flows: Perspectives, methodologies and open problems. Physica D, 241, , F. Dercole, F. Della Rossa, A. Colombo, and Y. A. Kuznetsov. Two degenerate boundary equilibrium bifurcations in planar Filippov systems. SIAM Journal on Applied Dynamical Systems, 10: , A. Colombo and M. R. Jeffrey. Nondeterministic chaos, and the two-fold singularity in piecewise smooth flows. SIAM Journal on Applied Dynamical Systems, 10: , A. Colombo and F. Dercole. Discontinuity induced bifurcations of nonhyperbolic cycles in nonsmooth systems. SIAM Journal on Applied Dynamical Systems, 9:62 83, A. Colombo, M. di Bernardo, E. Fossas, and M. R. Jeffrey. Teixeira singularities in 3D switched feedback control systems. Systems and Control Letters, 59, , T. Insperger, P. Wahi, A. Colombo, G. Stépán, M. di Bernardo, and S. J. Hogan. Full characterization of act-and-wait control for first-order unstable lag processes. Journal of Vibration and Control, 16: , A. Colombo and U. Galvanetto. Stable manifolds of saddles in piecewise smooth systems. CMES, Computer Modeling in Engineering & Sciences, 53: , A. Colombo, P. Lamiani, L. Benadero, and M. di Bernardo. Two-parameter bifurcation analysis of the buck converter. SIAM Journal on Applied Dynamical Systems, 8: , M. R. Jeffrey and A. Colombo. The two-fold singularity of discontinuous vector fields. SIAM Journal on Applied Dynamical Systems, 8: , F. Bizzarri, M. Storace, and A. Colombo. Bifurcation analysis of an impact model for forest fire prediction. International Journal of Bifurcation and Chaos, 18: , A. Colombo. Boundary intersection crossing bifurcation in the presence of sliding. Physica D, 237: , A. Colombo, F. Dercole, and S. Rinaldi. Remarks on metacommunity synchronization with application to prey-predator systems. The American Naturalist, 171: , The paper was highlighted in Faculty of 1000 Biology: A. Colombo and S. Rinaldi. Chaos in two-party democracies. International Journal of Bifurcation and Chaos, 18: , Proceedings H. Ahn, A. Colombo, and D. Del Vecchio. Experimental Testing of Semi-autonomous Multivehicle Control for Collision Avoidance at Intersections. In IEEE/RSJ International Conference on Intelligent Robots and Systems A. Colombo. Numerically Efficient Robustness Test for Nonlinear Circuit Models. In International Symposium on Circuits and Systems A. Colombo, and H. Wymeersch. Cooperative intersection collision avoidance in a constrained communication environment. In IEEE International Conference on Intelligent Transportation Systems /6
5 G. Rodrigues de Campos, F. Della Rossa, and A. Colombo. Optimal and least restrictive supervisory control: safety verification methods for human-driven vehicles at traffic intersections. In EEE Conference on Decision and Control H. Ahn, A. Colombo, and D. Del Vecchio. Supervisory control for intersection collision avoidance in the presence of uncontrolled vehicles. In American Control Conference A. Colombo. A mathematical framework for cooperative collision avoidance of human-driven vehicles at intersections. In International Symposium on Wireless Communication Systems, pages L. Bruni, A. Colombo, and D. Del Vecchio. Robust multi-agent collision avoidance through scheduling. In IEEE Conference on Decision and Control A. Colombo and A. Girard. An approximate abstraction approach to safety control of differentially flat systems. In European Control Conference E. Dallal, A. Colombo, D. Del Vecchio, and S. Lafortune. Supervisory control for collision avoidance in vehicular networks using discrete event abstractions. In American Control Conference E. Dallal, A. Colombo, D. Del Vecchio, and S. Lafortune. Supervisory control for collision avoidance in vehicular networks with imperfect measurements. In IEEE Conference on Decision and Control U. Galvanetto and A. Colombo. Computation of the basins of attraction in non-smooth dynamical systems. In Proceedings of the IUTAM Symposium on Nonlinear Dynamics for Advanced Technologies and Engineering Design, Aberdeen A. Colombo and D. Del Vecchio. Efficient algorithms for collision avoidance at intersections. In Hybrid Systems: Computation and Control A. Colombo and D. Del Vecchio. Supervisory control of differentially flat systems based on abstraction. In IEEE Conference on Decision and Control A. Colombo and D. Del Vecchio. Enforcing safety of cyberphysical systems using flatness and abstraction. In IEEE/ACM Second International Conference on Cyber-Physical Systems M. di Bernardo, A. Colombo, and E. Fossas. Two-fold singularity in nonsmooth electrical systems. In Proceedings of the 2011 IEEE International Symposium on Circuits and Systems F. Dercole, F. Della Rossa, A. Colombo, and Y. A. Kuznetsov. Codimension-two singularities on the stability boundary in relay control systems. In IFAC World Congress A. Colombo and U. Galvanetto. On the boundaries of basins of attraction in piecewise smooth systems. In COMPENG2010, Complexity in Engineering, pages A. Colombo and F. Dercole. Border collision of nonhyperbolic fixed points. Proceedings of CHAOS09, second IFAC meeting related to analysis and control of chaotic systems Personal Interests Free climbing, mountaineering, and photography 5/6
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