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 Pertubation and Discretization
  name:
    name part: Grüne, Lars.
    role:
      role term: creator
    role:
      role term: author.
    role:
      role term: aut
    role:
      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2002
    edition: 1st ed. 2002.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: X, 238 p. online resource.
  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: by Lars Grüne.
  subject:
    topic: Dynamics
  subject:
    topic: Ergodic theory
  subject:
    topic: System theory
  subject:
    topic: Numerical analysis
  subject:
    topic: Calculus of variations
  subject:
    topic: Dynamical Systems and Ergodic Theory
  subject:
    topic: Systems Theory, Control
  subject:
    topic: Numerical Analysis
  subject:
    topic: Calculus of Variations and Optimal Control; Optimization
  classification: QA313
  classification: 515.39
  classification: 515.48
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Lecture Notes in Mathematics, 1783
  identifier: 9783540367840
  identifier: https://doi.org/10.1007/b83677
  record info:
    record creation date: 121227
    record change date: 20191028102640.0
    record identifier: 978-3-540-36784-0