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: Mathematical control theory
    sub title: deterministic finite dimensional systems
  name:
    name part: Sontag, Eduardo D.
    role:
      role term: creator
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: nyu
    date issued: 1998
    edition: Second edition.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (xvi, 531 pages) : illustrations.
  abstract: This textbook introduces the basic concepts and results of mathematical control and system theory. It is geared primarily to an audience consisting of mathematically advanced undergraduate or beginning graduate students. In addition it can be used by engineering students interested in a rigorous, proof-oriented systems course that goes beyond the classical frequency-domain material and more applied courses. The minimal mathematical background that is required of the reader is a working knowledge of linear algebra and differential equations. The book covers what constitutes the common core of control theory: the algebraic theory of linear systems, including controllability, observability, feedback equivalence, and minimality; stability via Lyapunov, as well as input/output methods; ideas of optimal control; observers and dynamic feedback; parameterization of stabilizing controllers (in the scalar case only); and some very basic facts about frequency domain such as the Nyquist criterion. Kalman filtering is also introduced briefly through a deterministic version of "optimal observation. This text is unique in its emphasis on foundational aspects. While covering a wide range of topics written in a standard theorem/proof style, it also develops the necessary techniques from scratch and does not assume any background other than basic mathematics. In this second edition, additional chapters and sections have been written dealing with time optimal control of linear systems, variational and numerical approaches to nonlinear control, nonlinear controllability via Lie-algebraic methods, and controllability of recurrent nets and of linear systems with bounded controls. A large number of errors and typos have been corrected, and a table of symbols has also been added.
  table of contents: Introduction -- Systems -- Reachability and controllability -- Nonlinear controllability -- Feedback and stabilization -- Outputs -- Observers and dynamic feedback -- Optimality : value function -- Optimality : multipliers -- Optimality : minimum-time for linear systems.
  note: Eduardo D. Sontag.
  note: Includes bibliographical references (pages 493-518) and index.
  subject:
    topic: Control theory
  subject:
    topic: System analysis
  subject:
    topic: différentielle
  subject:
    topic: équation différentielle ordinaire
  subject:
    topic: algèbre linéaire
  subject:
    topic: optimalité
  subject:
    topic: stabilisation
  subject:
    topic: rétroaction
  subject:
    topic: commandabilité
  subject:
    topic: commande
  subject:
    topic: Controleleer
  subject:
    topic: Systeemanalyse
  subject:
    topic: Commande, Théorie de la
  subject:
    topic: Systèmes linéaires
  subject:
    topic: Systemtheorie
  subject:
    topic: Kontrolltheorie
  subject:
    topic: Control theory
  subject:
    topic: System analysis
  classification: QA402.3 .S683 1998eb
  classification: 515/.64
  classification: 30.10
  related item:
    title info:
      title: Mathematical control theory
    name:
      name part: Sontag, Eduardo D.
    origin info:
      edition: Second edition
    identifier: (DLC) 98013182
    identifier: (OCoLC)38438793
  related item:
    title info:
      title: Texts in applied mathematics ; 6
  identifier: 9781461205777 (electronic bk.)
  identifier: 1461205778 (electronic bk.)
  identifier: 0387984895
  identifier: 9780387984896
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: GW5XE
    record creation date: 140711
    record change date: 20260422220656.7
    record identifier: in00003551989
    language of cataloging:
      language term: eng