Abstract
Matrix-valued functions analytic and contractive in the open unit disk (Schur functions) play an important role in system theory. They represent transfer functions of causal time-invariant dissipative systems. In this paper we show how a Schur function can still be associated to a k-periodic system. This function satisfies a certain symmetry condition (conditions (1.7) for k=2 and (4.4) for general k). We study a general bitangential interpolation problem for the Schur functions satisfying this symmetry condition.
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Alpay, D., Bolotnikov, V. & Loubaton, P. Dissipative periodic systems and symmetric interpolation in Schur classes. Arch. Math. 68, 371–387 (1997). https://doi.org/10.1007/s000130050070
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DOI: https://doi.org/10.1007/s000130050070