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Sequences of L∞-optimal control problems: Γ-convergence and Hamilton–Jacobi equations

Article type: Research Article

Authors: Briani, Ariela

Affiliations: Dipartimento di Matematica, Università di Pisa, Largo Bruno Pontecorvo 5, 56127 Pisa, Italy E-mail: briani@dm.unipi.it

Abstract: 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 \[$J_{n}(y,u)=\mathop{\mathrm{ess}}\mathop{\mathrm{sup}}\nolimits_{t\in[0,T]}f_{n}(t,y(t),u(t))$. We prove a Γ-convergence result and we study the entailed properties on the stability for the related Hamilton–Jacobi equations.

Journal: Asymptotic Analysis, vol. 45, no. 3-4, pp. 171-190, 2005

Published: 2005
Price: EUR 27.50
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