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arXiv · 1802.09056

Analytic interpolation into the tetrablock and a $μ$-synthesis problem

Z. A. Lykova·N. J. Young·A. Ajibo
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Abstract

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

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Z. A. Lykova, N. J. Young, A. Ajibo. 2018-05-05. Analytic interpolation into the tetrablock and a $μ$-synthesis problem. https://arxiv.org/abs/1802.09056

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