A Fresh Geometrical Look at the General S-Procedure
Optimization and Control
2021-05-13 v2
Abstract
We revisit the S-procedure for general functions with "geometrical glasses". We thus delineate a necessary condition, and almost a sufficient condition, to have the S-procedure valid. Everything is expressed in terms of convexity of augmented sets (convex hulls, conical hulls) of images built from the data functions.
Cite
@article{arxiv.2102.05886,
title = {A Fresh Geometrical Look at the General S-Procedure},
author = {Michel de Lara and Jean-Baptiste Hiriart-Urruty},
journal= {arXiv preprint arXiv:2102.05886},
year = {2021}
}