Analytic interpolation into the tetrablock and a $\mu$-synthesis problem Article Swipe

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Zinaida A. Lykova , N. J. Young , A. Ajibo ·

YOU? · · 2018 · Open Access · · DOI: https://doi.org/10.48550/arxiv.1802.09056

We give a solvability criterion for a special case of the $\\mu$-synthesis\nproblem. That is, we prove the necessity and sufficiency of a condition for the\nexistence of an analytic $2 \\times 2$ matrix-valued function on the disc\nsubject to a bound on the structured singular value and satisfying a finite set\nof interpolation conditions. To do this we prove a realization theorem for\nanalytic functions from the disc to the tetrablock. We also obtain a\nsolvability criterion for the problem of analytic interpolation from the disc\nto the tetrablock.\n

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Analytic Function

Mathematics

Mathematical Analysis

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Interpolation (computer graphics) Analytic function Realization (probability) Mathematics Pure mathematics Function (biology) Set (abstract data type) Algebra over a field Applied mathematics Mathematical analysis Computer science Evolutionary biology Biology Programming language Statistics Animation Computer graphics (images)

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Type: preprint
Language: en
Landing Page: http://arxiv.org/abs/1802.09056
PDF: https://arxiv.org/pdf/1802.09056
OA Status: green
References: 15
Related Works: 20
OpenAlex ID: https://openalex.org/W2788907294

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DOI: https://doi.org/10.48550/arxiv.1802.09056

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Title: Analytic interpolation into the tetrablock and a $\mu$-synthesis problem

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Language: en

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Publication year: 2018

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Publication date: 2018-02-25

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Authors: Zinaida A. Lykova, N. J. Young, A. Ajibo

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Landing page: https://arxiv.org/abs/1802.09056

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Concepts: Interpolation (computer graphics), Analytic function, Realization (probability), Mathematics, Pure mathematics, Function (biology), Set (abstract data type), Algebra over a field, Applied mathematics, Mathematical analysis, Computer science, Evolutionary biology, Biology, Programming language, Statistics, Animation, Computer graphics (images)

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