Workshop on

Nonholonomic mechanics and optimal control

Institut Henri Poincaré

Paris - November 25 - 28, 2014

This workshop is a part of the IHP trimester "Geometry, Analysis and Dynamics on Sub-Riemannian Manifolds"

List of abstracts

Click the title to view the abstract.

Andrei A. AGRACHEV (SISSA, Trieste, Italy and Steklov Mathematical Institute, Moscow, Russia)

Abnormal geodesics and the shape of sub-Riemannian spheres

Yuliy BARYSHNIKOV (University of Illinois, Urbana-Champaign, USA)

Asymptotic of higher winding numbers of random walks and hypoelliptic diffusions

Anthony BLOCH (University of Michigan, Ann Arbor, USA)

Optics, Action Principles and Nonholonomic Mechanics

(slides)

Alexey V. BOLSINOV (Loughborough University, UK)

Topological monodromy as an obstruction to Hamiltonization of nonholonomic systems: pro or contra?

Bernard BONNARD (INRIA and Université de Bourgogne, Dijon, France)

Lunar and J2 perturbations of the metric associated to the averaged orbital transfer

(slides)

Jean-Baptiste CAILLAU (CNRS / INRIA and Université de Bourgogne, Dijon, France)

$L^1$ minimization in space mechanics

Camillo DE LELLIS (UZH, Zürich, Switzerland)

Energy conservation and Onsager's conjecture on the Euler equations

Manuel DE LEON (ICMAT, Madrid, Spain)

Reduction of the Hamilton-Jacobi equation

(slides)

Yuri FEDOROV (Universitat Politècnica de Catalunya, Barcelona, Spain)

Straight line rolling of an ellipsoid on a plane and the Chasles theorem

(slides)

Hélène FRANKOWSKA (Université Pierre et Marie Curie, Paris, France)

First and second-order sensitivity relations in optimal control

(slides)

Janusz GRABOWSKI (IMPAN, Warsaw, Poland)

Dirac Algebroids in Formalisms of Constrained Mechanics

(slides)

Bronislaw JAKUBCZYK (IMPAN, Warsaw, Poland)

Connection and curvature of regular control systems and Lagrangian geometry

(slides)

Frédéric JEAN (ENSTA ParisTech, Paris, France)

Why don't we move slower? On the cost of time in the neural control of movement

(slides)

Fernando JIMÉNEZ (Technische Universität München, München, Germany)

On the discretization of nonholonomic dynamics in $\mathbb{R}^n$

(slides)

Bozidar JOVANOVIC (Serbian Academy of Sciences and Arts, Belgrade, Serbia)

Various models of multidimensional nonholonomic rigid body dynamics

Matthias KAWSKI (Arizona state University, Phoenix, USA)

Approximating sub-Riemannian geodesics by highly oscillatory controls

Valery V. KOZLOV (Russian Academy of Sciences, Moscow, Russia)

Dynamics in systems with constraints

(slides)

Jean-Paul LAUMOND (LASS, Toulouse, France)

A geometric perspective of anthropomorphic action

Antonio LERARIO (ICJ, Lyon, France)

Quantitative topology of nonholonomic loop spaces

Richard MONTGOMERY (University of California, Santa Cruz, USA)

Some open problems in (and around) sub-Riemannian geometry

Tudor RATIU (Ecole Polytechnique Fédérale de Lausanne, Lausanne, Switzerland)

Geometry of nonholonomic diffusion

Mario SIGALOTTI (INRIA Saclay and CMAP, Paris, France)

Controllability of the discrete-spectrum Schrödinger equation

Gianna STEFANI (Università degli studi di Firenze, Italy)

Strong-local optimality for trajectories containing a singular arc

(slides)

Iskander TAIMANOV (Sobolev institute of mathematics, RAS, Novosibirsk, Russia)

On the integrability of geodesic flows on solvable Carnot 3-groups

Emmanuel TRÉLAT (Université Pierre et Marie Curie, Paris, France)

The turnpike property in optimal control

(slides)

Dmitry V. TRESCHEV (Steklov Mathematical Institute, Moscow, Russia)

Does the motion of a rigid ball on a plane look like a nonholonomic system?

Richard VINTER (Imperial College, London, UK)

Optimal Control for Differential Inclusions which have Bounded Variation w.r.t. Time

(slides)

Dmitry ZENKOV (North Carolina Stare University, Raleigh, USA)

Hamel’s Formalism and Variational Integrators

(slides)
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