You are viewing a javascript disabled version of the site. Please enable Javascript for this site to function properly.
Go to headerGo to navigationGo to searchGo to contentsGo to footer
In content section. Select this link to jump to navigation

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: [email protected]

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
Show more