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Functional Models, Factorizations and Linear Systems

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Geometrical Methods for the Theory of Linear Systems

Part of the book series: Nato Advanced Study Institutes Series ((ASIC,volume 62))

Abstract

In this paper we attempt to describe a circle of ideas which makes possible a unified exposition of a large part of linear algezbra, operator theory and both finite and infinite dimensional multivariable linear systems. As the title suggests the unifying conzcepts will be those of functional models, module theory and various factorizations of polynomial and analytic matrix valued functions. The full exposition of the ideas presented here will be the theme of a forthcoming monograph [20].

Partially supported by National Science Foundation under Grant NSF ENG77-28444.

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© 1980 D. Reidel Publishing Company

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Fuhrmann, P.A. (1980). Functional Models, Factorizations and Linear Systems. In: Byrnes, C.I., Martin, C.F. (eds) Geometrical Methods for the Theory of Linear Systems. Nato Advanced Study Institutes Series, vol 62. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-9082-1_7

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  • DOI: https://doi.org/10.1007/978-94-009-9082-1_7

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-9084-5

  • Online ISBN: 978-94-009-9082-1

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