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

Ariela Briani (1)

1 OC - Optimisation et commande

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.

Ariela Briani. Sequences of L-infinity optimal control problems, Gamma-convergence and Hamilton-Jacobi equations,. Asymptotic Analysis, 2005, 45 (3-4), pp.171-190. ⟨hal-00982652⟩