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Linear Operators and Linear Systems
An Analytical Approach to Control Theory

$54.99 (P)

Part of London Mathematical Society Student Texts

  • Date Published: March 2004
  • availability: Available
  • format: Paperback
  • isbn: 9780521546195

$ 54.99 (P)

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About the Authors
  • This volume presents an introduction to the common ground between operator theory and linear systems theory. Pure mathematical topics are included such as Hardy spaces, closed operators, the gap metric, semigroups, shift-invariant subspaces, the commutant lifting theorem and almost-periodic functions, which would be suitable for a course in functional analysis. The book also includes applications to partial differential equations, the stability and stabilization of linear systems, power signal spaces, and delay systems, treated from an input/output point of view.

    • Presents the common ground between linear operators and linear systems in an elementary style
    • Includes recent material on power signal spaces and delay systems that is not available in other books
    • Of wide interest - pure mathematicians, applied mathematicians and engineers simultaneously
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    Reviews & endorsements

    "The text is well suited for an advanced course on operator theory or mathematical system theory."
    A. Bultheel, Mathematical Reviews

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    Product details

    • Date Published: March 2004
    • format: Paperback
    • isbn: 9780521546195
    • length: 178 pages
    • dimensions: 229 x 160 x 11 mm
    • weight: 0.32kg
    • contains: 6 b/w illus. 101 exercises
    • availability: Available
  • Table of Contents

    1. Operators and Hardy spaces
    2. Closed operators
    3. Shift-invariance and causality
    4. Stability and stabilization
    5. Spaces of persistent signals
    6. Delay systems.

  • Resources for

    Linear Operators and Linear Systems

    Jonathan R. Partington

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  • Author

    Jonathan R. Partington, University of Leeds
    Jonathan R. Partington is a Professor of Applied Functional Analysis at Leeds University. He has served as editor of Journal of the London Mathematical Society and is coordinator of Leeds node in European Research Training network in Analysis and Operators. Author of some 100 papers in mathematics and engineering, he is also the author of An Introduction to Hankel Operators and Interpolation, Identification and Sampling.

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