Variational Analysis in Nonreflexive Spaces and Applications to Control Problems with L1 Perturbations
We provide a refined sensitivity analysis for finite and infinite horizon control problems where in both cases the perturbation space is L1. Our underlying technique relies on a recent sequential description of both the generalized gradient of Clarke and of the approximate G--subdifferential of functions defined on a smooth Banach space. We also show that the proximal limit formula for the generalized gradient and its Lp analogue are direct consequences of these sequential formulas. Related characterizations of Lipschitzness of a function on a smooth space are given.
WMU ScholarWorks Citation
Borwein, Jonathan and Zhu, Qiji Jim, "Variational Analysis in Nonreflexive Spaces and Applications to Control Problems with L1 Perturbations" (1997). Math Faculty Publications. 14.