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Algebraic Structure of Infinite Dimensional Linear Systems in Hilbert Space

  • Conference paper
Mathematical Systems Theory

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 131))

Abstract

A module structure for a class of infinite dimensional linear systems in Hilbert space is described. The theory of invariant subspaces and of the Banach algebra H∞ are the fundamental mathematical results used. Several results are derived which demonstrate that for this class of distributed systems, a detailed structure theory can be developed which resembles the corresponding theory for lumped systems.

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Author information

Authors and Affiliations

  1. Electrical Engineering Department, University of Maryland, College Park, Maryland, 20742, USA

    John S. Baras

Authors
  1. John S. Baras
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Editor information

Editors and Affiliations

  1. Department of Electrical Engineering, University of Padua, 6/A Via Gradenigo, 35100, Padova, Italy

    Giovanni Marchesini

  2. Department of Electrical Engineering and Computer Science and Electronic Systems Laboratory, Massachusetts Institute of Technology, Cambridge, Massachusetts, 02139, USA

    Sanjoy Kumar Mitter

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© 1976 Springer-Verlag Berlin · Heidelberg

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Baras, J.S. (1976). Algebraic Structure of Infinite Dimensional Linear Systems in Hilbert Space. In: Marchesini, G., Mitter, S.K. (eds) Mathematical Systems Theory. Lecture Notes in Economics and Mathematical Systems, vol 131. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-48895-5_13

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  • DOI: https://doi.org/10.1007/978-3-642-48895-5_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07798-5

  • Online ISBN: 978-3-642-48895-5

  • eBook Packages: Springer Book Archive

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