### Some properties of an upper bound of mu

*Gjerrit Meinsma, Yash Shrivastava and Minyue Fu
*

**Abstract**

A convex upper bound of the mixed structured singular value $\mu$
is analyzed. The upper bound is based on a multiplier method.
It is simple, it can exploit low-rank properties and it is shown to
be less conservative than the well-known $(D,G)$-scaling. A direct
relationship with $(D,G)$-scaling is given.
The upper bound can be modified to one that is continuous with an
explicit Lipschitz constant.

**Keywords:**
Mixed structured singular values,
linear matrix inequalities,
multipliers.

**Postscript file:**
mu-ac.ps.gz
(4 pages, 62 Kb, 600 dpi, gzip compressed).

**BibTex entry**

@Article{MSF95a,
author = "G. Meinsma and Y. Shrivastava and Minyue Fu",
title = "Some properties of an upper bound of {$\mu$}",
year = "1996",
journal = "IEEE Trans. Aut. Control",
volume = "41",
number = "9",
pages = "1326--1330"
}

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