Sequences of L-infinity optimal control problems, Gamma-convergence and Hamilton-Jacobi equations,

Ariela Briani

2005

Type de publication :

Article (revues avec comité de lecture)

Journal :

Asymptotic Analysis, vol. 45 (3-4), pp. 171-190

HAL :

hal-00982652

Résumé :

We consider the sequence of optimal control problems having as state equation y′(t)=an(t,y)+bn(t,u) (t∈(0,T], y(0)=x) and cost functional Jn(y,u)=esssup\nolimitst Î [0,T]fn(t,y(t),u(t)). We prove a Γ-convergence result and we study the entailed properties on the stability for the related Hamilton-Jacobi equations.

BibTeX :

@article{Bri-2005,
    author={Ariela Briani },
    title={Sequences of L-infinity optimal control problems, 
           Gamma-convergence and Hamilton-Jacobi equations, },
    journal={Asymptotic Analysis },
    year={2005 },
    volume={45 (3-4) },
    pages={171--190},
}