Titlebook: Interpolation and Realization Theory with Applications to Control Theory; In Honor of Joe Ball Vladimir Bolotnikov,Sanne ter Horst,Victor V

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Holomorphic Operator-valued Functions Generated by Passive Selfadjoint Systems,ear operators in .. The functions in . are Schur functions in the open unit disk . and, in addition, Nevanlinna functions in .. Such functions can be realized as transfer functions of minimal passive selfadjoint discrete-time systems.We give various characterizations for the class . and obtain an ex

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Free Bianalytic Maps between Spectrahedra and Spectraballs in a Generic Setting,a spectraball. Likewise, given a tuple . = (., . . . , .) of . × . matrices the collection . of tuples of matrices . = (., . . . , .) (of the same size) such that . is a free spectrahedron. Assuming . and . are irreducible, plus an additional mild hypothesis, there is a free bianalytic map . normali

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Block Triangular Matrices in Banach Space: Minimal Completions and Factorability,ty with . invertible; block LU factorability with . not necessarily invertible; rank factorization; and, above all, the minimal rank completion problem of block triangular type. This extension requires the replacement of rank considerations by range and kernel inclusions..LPU factorability appears a

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Analytic Interpolation into the Tetrablock and a ,-synthesis Problem,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 solvabilit

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