Compact sets in the space of bounded linear operators and applications to optimal feedback control
Abstract
In this paper, we present some results characterizing compact sets in the space of bounded linear operators from one Banach space to another and their applications to feedback control theory.We present necessary and sufficient conditions characterizing compact sets in the weak operator topology followed by similar results with respect to strong operator topology.These results are then used to develop feedback control theory for evolution equations on Banach spaces.
Fields of Study & Subjects
Advanced Banach Space Theory
Stability and Controllability of Differential Equations
Nonlinear Differential Equations Analysis
Publication details
- Journal / source
- Communications in Optimization Theory
- Volume
- 2026
- Issue
- 1
- Publication date
- 1 January 2026