A Schwarz lemma for a domain related to mu-synthesis
A. A. Abouhajar, M. C. White, N. J. Young
TL;DR
This paper establishes a Schwarz lemma for a specific domain in complex space related to mu-synthesis, providing automorphisms, boundary description, and a Schwarz-Pick lemma applicable to control theory problems.
Contribution
It introduces a Schwarz lemma for a domain connected to mu-synthesis, expanding complex analysis tools in control theory contexts.
Findings
Derived automorphisms of the domain E
Determined the distinguished boundary of E
Established a Schwarz-Pick lemma for mu-synthesis problem
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.
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Taxonomy
TopicsHolomorphic and Operator Theory · Geometric and Algebraic Topology · Quantum chaos and dynamical systems