On an abstract control problem
- 1 January 1980
- journal article
- research article
- Published by Taylor & Francis in Numerical Functional Analysis and Optimization
- Vol. 2 (6) , 531-542
- https://doi.org/10.1080/01630568008816074
Abstract
In this paper we establish a formula for the subdifferential of the function g(u)=f(Au,u), where is a lower semicontinuous convex function and A:U→X is a continuous linear operator, X,U being locally convex spaces. This problem appears in characterizing the solutions of the following abstract convex control problem: minimize f(x,u), subject to x = xo + Au.Keywords
This publication has 2 references indexed in Scilit:
- A generalization of the Farkas lemma and applications to convex programmingJournal of Mathematical Analysis and Applications, 1978
- Hahn-Banach type theorems for hypolinear functionalsMathematische Annalen, 1974