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Article Dans Une Revue Indiana University Mathematics Journal Année : 2003

Singularities of viscosity solutions and the stabilization problem in the plane

Ludovic Rifford

Résumé

We study the general problem of globally asymp- totically controllable affine systems in the plane. As preliminaries we present some results of independent interest. We study the regularity of some sets related to semiconcave viscosity supersolutions of Hamilton-Jacobi-Bellman equations. Then we deduce a construction of stabilizing feedbacks in the plane.
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Dates et versions

hal-00769003 , version 1 (27-12-2012)

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  • HAL Id : hal-00769003 , version 1

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Ludovic Rifford. Singularities of viscosity solutions and the stabilization problem in the plane. Indiana University Mathematics Journal, 2003, 52 (5), pp.1373-1395. ⟨hal-00769003⟩
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