Dissipative periodic systems and symmetric interpolation in Schur classes

D. Alpay, V. Bolotnikov, P. Loubaton

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

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.

Original languageEnglish
Pages (from-to)371-387
Number of pages17
JournalArchiv der Mathematik
Volume68
Issue number5
DOIs
StatePublished - 2 May 1997

ASJC Scopus subject areas

  • General Mathematics

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