Workshop
Analysis and Geometry in Control Theory and its Applications
lunedì 9 giugno 2014 - venerdì, 13 giugno 2014

Istituto Nazionale di Alta Matematica (INDAM)
Piazzale Aldo Moro, 500185 Roma

In many fields of mathematics, a huge and growing volume of activity has been accompanied by fragmentation into a multitude of narrow specialities. But outstanding advances are many times the end-result of the quest for unifying themes and a synthesis of different approaches.

Control Theory and its Applications is no exception. Here, the fruitful interplay of analysis and geometry has had a crucial role in the evolution of the field.

This Workshop is aimed at reaffirming this perspective, and paying affectionate homage to two prominent researchers engaged in this challenging adventure: Hélène FRANKOWSKA and Héctor J. SUSSMANN.

Monday, 9/06/2014
9.00-9.30 Registration (INdAM room)
9.30-9.50 Opening (room V)
9.50-10.20 Zvi ARTSTEIN, Weizmann Institute of Science of Rehovot, Israel
Applications of Young Measures to Control Systems
10.20-10.50 Richard B. VINTER, Imperial College London
Regularity Properties of the Hamiltonian for State Constrained Optimal Control Problems

Coffee break

11.20-11.50 Hasnaa ZIDANI, Ecole Nationale Supérieure de Techniques Avancées, Paris
Title to be communicated
11.50-12.20 Laura POGGIOLINI, Università degli Studi di Firenze
State–local optimality in the minimum time problem
12.20-12.50 Antonio SICONOLFI, “Sapienza” Università di Roma
Homogenization and singular limits for Hamilton–Jacobi Bellman equations

Lunch

15.30-16.00 Daniela TONON, CEREMADE, “Dauphine” Université Paris
Some new results on Pointwise second order necessary conditions in optimal control under closed control constraints
16.00-16.30 Antonio MARIGONDA, Università degli Studi di Verona
Controllability of some nonlinear systems with drift via generalized curvature properties

Coffee break

17.00-17.30 Anna Chiara LAI, “Sapienza” Università di Roma
Costly asymptotic controllability for control–polynomial systems
17.30-18.00 Andrey SARYCHEV, Università degli Studi di Firenze
Fréchet Generalized Trajectories and Minimizers for Optimal Control Problems of Low Coercivity


Tuesday, 10/06/2014
Room V, third floor
9.00-9.20 Opening
9.20-9.50 Ludovic RIFFORD, Université de Nice-Sophia Antipolis
Control and Dynamics
9.50-10.20 Heinz SCHAETTLER, Washington University in St. Louis, U.S.A.
On the Local Structure of Optimal Controls in the Context of Biomedical Applications
10.20-10.50 Bernard BONNARD, Institut Mathématiques de Bourgogne
Energy minimization problem vs time minimization in the averaged orbital transfer

Coffee break

11.20-11.50 Davide BARILARI, Institut de Mathématiques de Jussieu, Paris
Comparison theorems for conjugate points in sub–Riemannian geometry
11.50-12.20 Khai Tien NGUYEN, Pennsylvania State University, U.S.A.
Quantitative compactness estimates for Hamilton–Jacobi equations
12.20-13.05 Héctor J. SUSSMANN, Rutgers University , U.S.A.
A very weak regularity result for minimizers of real analytic subriemannian metrics

Lunch

15.00-15.30 Ermal FELEQI, Università degli Studi di Padova
Towards a useful set–valued iterated Lie bracket
15.30-16.00 Urszula LEDZEWICZ, Southern Illinois University, U.S.A.
Control of the Tumor Microenvironment: Geometric Insights

Coffee break

16.30-17.00 Maria Soledad ARONNA, Instituto Nacional de Matemática Pura e Aplicada, Rio de Janeiro
Proper extensions of optimal control problems with final constraints
17.00-17.30 Arjan VAN DER SCHAFT, University of Groningen, the Netherlands
Maximal monotone relations and incrementally port–Hamiltonian systems
17.30-18.00 Davide VITTONE, Università degli Studi di Padova
Some new results on sub–Riemannian geodesics

20.15 Social dinner
Trattoria degli Amici


Wednesday, 11/06/2014
Room V, third floor
9.20-9.50 Ugo BOSCAIN, École Polytechnique CNRS, France
On the relation between the heat diffusion and the value function for problems of Riemannian and sub–Riemannian geometry
9.50-10.20 Anthony BLOCH, University of Michigan, U.S.A.
Dynamics and Geometry of Discrete and Smooth Optimal Control Problems on Manifolds
10.20-10.50 Mario SIGALOTTI, École Polytechnique CNRS, France
Control of the multi–input Schroedinger equation

Coffee break

11.20-11.50 Fabio ANCONA, Università degli Studi di Padova
The role of resonances in the homogeneous feedback stabilization: a case study
11.50-12.20 Martino BARDI, Università degli Studi di Padova
Portfolio optimisation with Gaussian and non–Gaussian stochastic volatility
12.20-12.50 Carlo MARICONDA, Università degli Studi di Padova
The non occurrence of the Lavrentiev gap for scalar multi–dimensional variational problems

Lunch

FREE AFTERNOON

20.15 Social dinner
Trattoria Pommidoro


Thursday, 12/06/2014
Room V, third floor
9.00-9.20 Opening
9.20-9.50 Asen DONTCHEV, Univerisity of Michigan, U.S.A.
Around the inverse function theorem
9.50-10.20 Jean-Pierre AUBIN, VIMADES, France
How Long and How Much Money is Needed to Regulate a Viable Economy
10.20-10.50 Marc QUINCAMPOIX, Université de Bretagne Occidentale
Representation formulas for limit values in optimal control

Coffee break

11.20-11.50 Pierre CARDALIAGUET, CEREMADE, “Dauphine” Université Paris
An optimal control approach to Mean Field Games
11.50-12.20 Elsa Maria MARCHINI, Politecnico di Milano
Optimal control for evolution equations with memory
12.20-13.05 Hélène FRANKOWSKA, University Pierre and Marie Curie, France
Jets of Set–Valued Maps and Necessary Optimality Conditions in Optimal Control

Lunch

15.00-15.30 Daniel HOEHENER, Massachussetts Institute of Technology
Variational Approach to Second-Order Optimality Conditions in Optimal Control
15.30-16.00 Luxi CHEN, University of Michigan School of Information
The Generalized Lax–Hopf Formula. Applications to Investment Problem
16.00-16.30 Jean-Michel CORON, University Pierre and Marie Curie, France
On the control of the Korteweg de Vries equation

Coffee break

17.00-17.30 Marco MAZZOLA, University Pierre and Marie Curie, France
A relaxation result for state constrained inclusions in infinite dimension
17.30-18.00 Piermarco CANNARSA, Università di Roma “Tor Vergata”
The Mayer problem with differential inclusions: regularity, sensitivity, and optimality conditions


Friday, 13/06/2014
Room V, third floor
9.20-9.50 Maurizio FALCONE, “Sapienza” Università di Roma
A Geometric Control Approach to Domain Decomposition for Hamilton-Jacobi-Bellman equations
9.50-10.20 Paolo MASON, Laboratoire des Signaux et Systeme, France
Approximate controllability of the Schroedinger equation via adiabatic techniques
10.20-10.50 Fulvio FORNI, University of Cambridge, UK
Differentially positive systems

Coffee break

11.20-11.50 Fabio PRIULI, Istituto per le Applicazioni del Calcolo “M. Picone” del CNR, Roma
Modeling different degrees of rationality in pedestrian crowds motion
11.50-12.20 Peter R. WOLENSKI, Louisiana State University
Another look at the strong invariance property
12.20-12.50 Carlo SINESTRARI, Università di Roma “Tor Vergata”
Generalized characteristic flow for eikonal equation


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