English: [pdf] updated
CV French: [pdf] updated NOVEMBER 2013
Optimal control: control-affine systems, partially control affine-systems, second order conditions, quadratic conditions, singular arcs, bang-singular solutions, shooting algorithm, Newton methods, stability. Regularity of minimizers.
Impulsive optimal control: unbounded controls, discontinuous trajectories, impulsive differential equations, trajectories of unbounded variation, commutative and non-commutative dynamics, Pontryagin Maximum Principle, necessary optimality conditions.
Measure-driven and impulsive differential equations: definition, robustness.
Aronna, M.S. and Rampazzo F., On optimal control problems with impulsive commutative dynamics. To appear in the Proceedings of the 52nd IEEE Conference on Decision and Control, 2013.
Aronna, M.S., Convergence of the shooting algorithm for singular optimal control problems. To appear in the Proceedings of the European Control Conference ECC’13. [link to arXiv]
Aronna, M.S., Bonnans, J.F., and Martinon P., A shooting algorithm for optimal control problems with singular arcs - Journal of Optimization Theory and Applications, pp. 419-459, Volume 158, Issue 2, August 2013. [link to article] [errata]
Aronna, M.S., Bonnans, J.F., Dmitruk A.D. and Lotito P.A., Quadratic order conditions for bang-singular extremals – AIMS Journal - Numerical Algebra, Control and Optimization, pp. 511 - 546, Volume 2, Issue 3, September 2012, special issue in honor of Helmut Maurer. [link to article]
Aronna, M.S., Singular solutions in optimal control: second order conditions and a shooting algorithm, 2012. [Online preprint, submitted]
Aronna, M.S. and Rampazzo F., Necessary conditions involving Lie brackets for impulsive optimal control problems; the commutative case, 2012. [Online preprint]
Aronna, M.S. and Rampazzo F., L1 trajectories for control affine systems, 2013.
Aronna, M.S. and Rampazzo F., A note on systems with ordinary and impulsive controls, 2013.
First and higher-order necessary conditions for an impulsive optimal control problem with final state constraints, (invited) talk at the Control Days, Università di Padova, Italy. September 2013.
Convergence of the shooting algorithm for singular optimal control problems, talk at the European Control Conference, Zurich, Switzerland. July 2013.
Necessary conditions for impulsive optimal control problems, talk at the SIAM Conference on Control and its Applications, San Diego, USA. July 2013.
Numerical analysis of control-affine problems with state-constraints (joint work with J.-F. Bonnans and B.-S. Goh), poster presented at Doctoral Days of the SADCO Network, Paris, France. June 2013. [2nd prize!]
Density Issues for Impulsive Controls, talk at Doctoral Days of the SADCO Network, Paris, France. June 2013. [Abstract]
Sur des problèmes de commande optimale impulsionnelle, (invited) talk at Congrès SMAI (Société française des mathématiques appliquées et industrielles), Seignosse, France. May 2013. [Abstract]
The Pontryagin Maximum Principle and its proof, lecture at Young Researchers Workshop on System Dynamics and Optimal Control of the SADCO Network, Madeira, Portugal. January 2013
A shooting algorithm for bang-singular solutions, (invited) talk at 12th Viennese Workshop on Optimal Control, Dynamic Games and Nonlinear Dynamics , Vienna, Austria. May 2012.
Dipartimento di Matematica, Università di Padova
Last updated: November 27th 2013