2018/02/25 by Zinaida A. Lykova, N. J. Young, Lykova, Z. A. +3
Computer Science · Mathematics · #30E05 #32F45 #93B36 #93B50 #Algebraic and Geometric Analysis #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #Matrix Theory and Algorithms #Spectral Theory in Mathematical Physics #semigroups and automata theory
paper · pdf · doi:10.48550/arxiv.1802.09056
openalex publication_date 2018/02/25 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28
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 × 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.