A Family of Domains Associated with mu-Synthesis

Bharali, Gautam (2015) A Family of Domains Associated with mu-Synthesis. In: INTEGRAL EQUATIONS AND OPERATOR THEORY, 82 (2). pp. 267-285.

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Abstract

We introduce a family of domains-which we call the -quotients-associated with an aspect of -synthesis. We show that the natural association that the symmetrized polydisc has with the corresponding spectral unit ball is also exhibited by the -quotient and its associated unit `` -ball''. Here, is the structured singular value for the case Specifically: we show that, for such an E, the Nevanlinna-Pick interpolation problem with matricial data in a unit `` -ball'', and in general position in a precise sense, is equivalent to a Nevanlinna-Pick interpolation problem for the associated -quotient. Along the way, we present some characterizations for the -quotients.

Item Type:	Journal Article
Publication:	INTEGRAL EQUATIONS AND OPERATOR THEORY
Publisher:	SPRINGER BASEL AG
Additional Information:	Copy right for this article belongs to the SPRINGER BASEL AG, PICASSOPLATZ 4, BASEL, 4052, SWITZERLAND
Keywords:	Categorical quotients; interpolation; Nevanlinna-Pick problem; mu-synthesis
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	15 Jun 2015 11:10
Last Modified:	15 Jun 2015 11:10
URI:	http://eprints.iisc.ac.in/id/eprint/51687

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