Some analysable instances of mu-synthesis
Complex Variables
2012-01-10 v1
Abstract
I describe a verifiable criterion for the solvability of the 2 by 2 spectral Nevanlinna-Pick problem with two interpolation points, and likewise for three other special cases of the mu-synthesis problem. The problem is to construct an analytic 2 by 2 matrix function F on the unit disc subject to a finite number of interpolation constraints and a bound on the cost function sup {mu(F(z)): |z| < 1}, where mu is an instance of the structured singular value of a 2 by 2 matrix.
Keywords
Cite
@article{arxiv.1201.1773,
title = {Some analysable instances of mu-synthesis},
author = {N. J. Young},
journal= {arXiv preprint arXiv:1201.1773},
year = {2012}
}
Comments
19 pages. The paper is based on a talk given at the Helton 65th birthday conference, San Diego, November 2010, and summarizes a number of results, mainly taken from papers by Jim Agler and me. To appear in the conference proceedings