rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Fourier Series in Control Theory
  name:
    name part: Komornik, Vilmos.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Loreti, Paloa.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxu
    date issued: 2005
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: IX, 226 p. 29 illus. online resource.
  abstract: Advance Praise for Fourier Series in Control Theory: It has been known since 1967 that a wide variety of sets of complex exponential functions play an important role in the control theory of systems governed by partial differential equations. Up until now, the relevant literature has been scattered among various journal articles, a survey paper by myself in SIAM Review in 1978, and the book, Families of Exponentials, by S. Avdonin and S. Ivanov (1995). Fourier Series in Control Theory successfully gathers all of the available theory of these "nonharmonic Fourier series" in one place, combining published results with new results, to create a unique source of such material for practicing applied mathematicians, engineers, and other scientific professionals. - David Russell, Virginia Polytechnic Institute and State University This monograph will be of interest to experts and researchers, as well as graduate students in such courses as control series and harmonic analysis. Starting with an overview of the problems of observability, controllability, and stabilization of linear systems and their interconnections, the text contains complete proofs along with a short, simplified, presentation of some properties of Bessel functions for the convenience of the reader. Only basic knowledge of functional analysis is required.
  table of contents: Observation, Control, and Stabilization -- Well-Posedness in a Riesz Basis Setting -- Observability of Strings -- Observability of Beams -- Vector Sum Estimates -- Problems on Spherical Domains -- Multidimensional Ingham-Type Theorems -- A General Ingham-Type Theorem -- Problems with Weakened Gap Conditions.
  note: by Vilmos Komornik, Paloa Loreti.
  subject:
    topic: Mathematics
  subject:
    topic: System theory
  subject:
    topic: Calculus of variations
  subject:
    topic: Mathematics
  subject:
    topic: Systems Theory, Control
  subject:
    topic: Calculus of Variations and Optimal Control; Optimization
  classification: Q295
  classification: QA402.3-402.37
  classification: 519
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Springer Monographs in Mathematics
  identifier: 9780387274089
  identifier: http://dx.doi.org/10.1007/b139040
  record info:
    record creation date: 100301
    record change date: 20151116133001.0
    record identifier: 978-0-387-27408-9