Dissipative periodic systems and symmetric interpolation in Schur classes View Full Text


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Article Info

DATE

1997-10

AUTHORS

Daniel Alpay, Vladimir Bolotnikov, Philippe Loubaton

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. More... »

PAGES

371-387

References to SciGraph publications

  • 1993. Two-Sided Tangential Interpolation of Real Rational Matrix Functions in NEW ASPECTS IN INTERPOLATION AND COMPLETION THEORIES
  • 1990. Interpolation of Rational Matrix Functions in NONE
  • 1986. Deterministic and stochastic linear periodic systems in TIME SERIES AND LINEAR SYSTEMS
  • 1992. Minimality and Realization of Discrete Time-Varying Systems in TIME-VARIANT SYSTEMS AND INTERPOLATION
  • 1974. Indefinite Inner Product Spaces in NONE
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s000130050070

    DOI

    http://dx.doi.org/10.1007/s000130050070

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1049167143


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