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: Asymptotic behavior of dynamical and control systems under perturbation and discretization
  name:
    name part: Grüne, Lars
    name part: 1967-
    role:
      role term: creator
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: gw
    date issued: 2002
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (ix, 231 pages) : illustrations.
  abstract: This book provides an approach to the study of perturbation and discretization effects on the long-time behavior of dynamical and control systems. It analyzes the impact of time and space discretizations on asymptotically stable attracting sets, attractors, asumptotically controllable sets and their respective domains of attractions and reachable sets. Combining robust stability concepts from nonlinear control theory, techniques from optimal control and differential games and methods from nonsmooth analysis, both qualitative and quantitative results are obtained and new algorithms are developed, analyzed and illustrated by examples.
  table of contents: Dynamics, Perturbation and Discretization -- Setup and Preliminaries -- Strongly Attracting Sets -- Weakly Attracting Sets -- Relation between Discretization and Perturbation -- Discretizations of Attractive Sets -- Domains of Attraction -- Appendices. Viscosity Solutions. Comparison Functions. Numerical Examples.
  note: Lars Grüne.
  note: Electronic resource.
  note: Includes bibliographical references (pages [221]-227) and index.
  note: English.
  subject:
    topic: Attractors (Mathematics)
  subject:
    topic: Differentiable dynamical systems
  subject:
    topic: Asymptotic expansions
  subject:
    topic: Perturbation (Mathematics)
  subject:
    topic: Asymptotic expansions
  subject:
    topic: Attractors (Mathematics)
  subject:
    topic: Differentiable dynamical systems
  subject:
    topic: Perturbation (Mathematics)
  classification: QA3 .L28 no. 1783
  classification: QA614.813
  classification: 510 s 514/.74
  related item:
    title info:
      title: Asymptotic behavior of dynamical and control systems under perturbation and discretization
    name:
      name part: Grüne, Lars, 1967-
    origin info:
      publisher: Berlin ; New York : Springer, ©2002
    identifier: (DLC) 2002021249
    identifier: (OCoLC)49312662
  related item:
    title info:
      title: Lecture notes in mathematics (Springer-Verlag) ; 1783
  identifier: 9783540367840 (electronic bk.)
  identifier: 3540367845 (electronic bk.)
  identifier: 3540433910
  identifier: 9783540433910
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: COO
    record creation date: 020308
    record change date: 20260420204142.7
    record identifier: in00003514214
    language of cataloging:
      language term: eng