A Schwarz lemma for a domain related to mu-synthesis
Complex Variables
2013-03-13 v3 Optimization and Control
Abstract
We prove a Schwarz lemma for a domain E in 3-dimensional complex space that arises in connection with a problem in H infinity control theory. We describe a class of automorphisms of E and determine the distinguished boundary of E. We obtain a type of Schwarz-Pick lemma for a two by two mu-synthesis problem.
Keywords
Cite
@article{arxiv.0708.0637,
title = {A Schwarz lemma for a domain related to mu-synthesis},
author = {A. A. Abouhajar and M. C. White and N. J. Young},
journal= {arXiv preprint arXiv:0708.0637},
year = {2013}
}
Comments
33 pages, 1 figure, This version (v3) contains a correction of inaccuracies in Theorems 2.2 and 2.4. Three of the eleven equivalent conditions we gave for membership of the tetrablock were incorrect. The error does not affect any of the rest of the paper