Five-Full-Block Structured Singular Values of Real Matrices Equal Their Upper Bounds
Optimization and Control
2020-07-14 v2
Abstract
We show that the structured singular value of a real matrix with respect to five full complex uncertainty blocks equals its convex upper bound. This is done by formulating the equality conditions as a feasibility SDP and invoking a result on the existence of a low-rank solution. A counterexample is given for the case of six uncertainty blocks. Known results are also revisited using the proposed approach.
Cite
@article{arxiv.2007.05222,
title = {Five-Full-Block Structured Singular Values of Real Matrices Equal Their Upper Bounds},
author = {Olof Troeng},
journal= {arXiv preprint arXiv:2007.05222},
year = {2020}
}