Displaying similar documents to “Asymptotics of accessibility sets along an abnormal trajectory”

Hölder equivalence of the value function for control-affine systems

Dario Prandi (2014)

ESAIM: Control, Optimisation and Calculus of Variations

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We prove the continuity and the Hölder equivalence w.r.t. an Euclidean distance of the value function associated with the L cost of the control-affine system = () + ∑ (), satisfying the strong Hörmander condition. This is done by proving a result in the same spirit as the Ball–Box theorem for driftless (or sub-Riemannian) systems. The techniques used are based on a reduction of the control-affine system to a linear but time-dependent one,...

Sub-Riemannian sphere in Martinet flat case

A. Agrachev, B. Bonnard, M. Chyba, I. Kupka (2010)

ESAIM: Control, Optimisation and Calculus of Variations

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This article deals with the local sub-Riemannian geometry on ℜ, () where is the distribution ker being the Martinet one-form : and is a Riemannian metric on . We prove that we can take as a sum of squares . Then we analyze the flat case where 1. We parametrize the set of geodesics using elliptic integrals. This allows to compute the exponential mapping, the wave front, the conjugate and cut loci and the sub-Riemannian sphere. A direct consequence of our computations is to...

Spreadability, Vulnerability and Protector Control

A. Bernoussi (2010)

Mathematical Modelling of Natural Phenomena

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In this work, we present some concepts recently introduced in the analysis and control of distributed parameter systems: , and . These concepts permit to describe many biogeographical phenomena, as those of pollution, desertification or epidemics, which are characterized by a spatio-temporal evolution