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Algebras of Holomorphic Functions and Control Theory

List Price: $7.95
SKU:
9780486474656
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  • Product Details

    Author:
    Amol Sasane
    Format:
    Paperback
    Pages:
    160
    Publisher:
    Dover Publications (August 21, 2009)
    Language:
    English
    ISBN-13:
    9780486474656
    ISBN-10:
    0486474658
    Weight:
    5.76oz
    Dimensions:
    5.375" x 8.5"
    Case Pack:
    50
    Series:
    Dover Books on Mathematics
    File:
    Dover-Dover_10012026_P10701433_onix30_Complete-20261001.xml
    Folder:
    Dover
    As low as:
    $7.55
    List Price:
    $7.95
    Publisher Identifier:
    P-DOVER
    Discount Code:
    D
    Audience:
    College/higher education
    Pub Discount:
    65
    Imprint:
    Dover Publications
  • Overview

    This accessible, undergraduate-level text illustrates the role of algebras of holomorphic functions in the solution of an important engineering problem: the stabilization of a linear control system. Its concise and self-contained treatment avoids the use of higher mathematics and forms a bridge to more advanced treatments.
    The treatment consists of two components: the algebraic framework, which serves as the abstract language for posing and solving the problem of stabilization; and the analysis component, which examines properties of specific rings of holomorphic functions. Elementary, self-contained, and constructive proofs elucidate the explorations of rings of holomorphic functions relevant in control theory. Introductory chapters on control theory and stable transfer functions are followed by surveys of unstable plants and the stabilization problem and its solution. The text concludes with suggestions for further reading and a bibliography.