Five-Full-Block Structured Singular Values of Real Matrices Equal Their Upper Bounds
(2021) In IEEE Control Systems Letters 5(2). p.583-586- 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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/b161e821-59a9-42fe-9bf6-5ecef4b3751f
- author
- Troeng, Olof LU
- organization
- publishing date
- 2021-04
- type
- Contribution to journal
- publication status
- published
- subject
- in
- IEEE Control Systems Letters
- volume
- 5
- issue
- 2
- pages
- 4 pages
- publisher
- IEEE - Institute of Electrical and Electronics Engineers Inc.
- external identifiers
-
- scopus:85088318615
- ISSN
- 2475-1456
- DOI
- 10.1109/LCSYS.2020.3004297
- project
- Scalable Control of Interconnected Systems
- language
- English
- LU publication?
- yes
- id
- b161e821-59a9-42fe-9bf6-5ecef4b3751f
- alternative location
- https://arxiv.org/abs/2007.05222
- date added to LUP
- 2020-07-16 12:45:47
- date last changed
- 2022-05-04 19:01:55
@article{b161e821-59a9-42fe-9bf6-5ecef4b3751f,
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.}},
author = {{Troeng, Olof}},
issn = {{2475-1456}},
language = {{eng}},
number = {{2}},
pages = {{583--586}},
publisher = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
series = {{IEEE Control Systems Letters}},
title = {{Five-Full-Block Structured Singular Values of Real Matrices Equal Their Upper Bounds}},
url = {{http://dx.doi.org/10.1109/LCSYS.2020.3004297}},
doi = {{10.1109/LCSYS.2020.3004297}},
volume = {{5}},
year = {{2021}},
}