@inproceedings{cba70d6ab1b54b4caa6d33d5bc7f13f9,
title = "New algorithms for upper and lower bounds on the mixed/real structured singular value",
abstract = "New algorithms are presented for the computation of good upper and lower bounds on the structured singular value μ, for high order plants subject to purely real or mixed real/complex uncertainty. A geometric form of the Hahn-Banach theorem is used to develop an algorithm for computing an upper bound on μ, involving a linear program and a symmetric eigenvalue problem at each iteration. A proof of convergence to a convex upper bound on μ is presented. The new lower bound algorithm formulates the search for a worst-case real (or mixed) destabilising perturbation as a constrained non-linear optimisation problem. The new algorithms are compared with currently available software tools for computing μ on a large scale stability robustness analysis problem for an experimental V/STOL aircraft configuration.",
keywords = "Optimisation, Robustness Analysis",
author = "Hayes, {M. J.} and Bates, {D. G.} and Holohan, {A. M.}",
note = "Publisher Copyright: {\textcopyright} 2001 EUCA.; 6th European Control Conference, ECC 2001 ; Conference date: 04-09-2001 Through 07-09-2001",
year = "2001",
doi = "10.23919/ecc.2001.7076096",
language = "English",
series = "2001 European Control Conference, ECC 2001",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "1295--1302",
booktitle = "2001 European Control Conference, ECC 2001",
}