All ressources related to this research area.
Optimal Control
Related article(s)
-
Bolza type problems in discrete time
Related research area(s): Optimal Control
Journal: Taiwanese Journal of Mathematics
Reference: 12 (2008), 1385--1400.
-
Calcul sous-différentiel et calcul des variations en dimension infinie
Author(s):Thibault
Related research area(s): Optimal Control , Variational Nonsmooth Analysis
Journal: Bulletin de la Société Mathématique de France
Reference: 60 (1979), 161--175.
-
Functional evolution equations governed by nonconvex sweeping process
Author(s):Castaing , Salvadori, Thibault
Related research area(s): Differential Inclusions, Optimal Control
Journal: Journal of Nonlinear and Convex Analysis
Reference: 2 (2001), 217--241.
-
Non coincidence of approximate and limiting subdifferentials of integral functionals
Related research area(s): Optimal Control
Journal: SIAM Journal on Control and Optimization
Reference: 49 (2011), 1435--1453.
For a locally Lipschitz integral functional defines on the space of integrable functions, the limiting subdifferential and the approximate subdifferential never coincide at a point where the integrand is not subdifferentially regular almost everywhere. The coincidence of both subdifferentials occurs on a dense set of the space of integrable functions if and only if the integrand is a convex integrand. Our results allow us to obtain Aubin's Lipschitz-like property as well as the convexity of multivalued mappings between the spaces of integrable functions. New necessary optimality conditions for some Bolza problems are also obtained.
Download: article
-
On the discretization of truncated integro-differential sweeping process and optimal control
Author(s):Bouach, Haddad, Thibault
Related research area(s): Differential Inclusions, Optimal Control , Variational Nonsmooth Analysis
Journal: Journal of Optimization Theory and Applications
Reference: 193 (2022), 785--830.
-
Relaxation of an optimal control problem involving a perturbed sweeping process
Related research area(s): Differential Inclusions, Optimal Control
Journal: Mathematical Programming
Reference: 104 (2005), 347--373.