Variational Analysis in Nonreflexive Spaces and Applications to Control Problems with L¹ Perturbations

Authors

Jonathan Borwein, Simon Fraser University
Qiji Jim Zhu, Western Michigan UniversityFollow

Document Type

Article

Publication Date

3-1997

Abstract

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 L^p analogue are direct consequences of these sequential formulas. Related characterizations of Lipschitzness of a function on a smooth space are given.

Comments

https://doi.org/10.1016/0362-546X(95)00186-Y

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.
https://scholarworks.wmich.edu/math_pubs/14