• DocumentCode
    1744124
  • Title

    Attractors under perturbation and discretization

  • Author

    Grüne, Lars

  • Author_Institution
    Fachbereich Math., Frankfurt Univ., Germany
  • Volume
    3
  • fYear
    2000
  • fDate
    2000
  • Firstpage
    2118
  • Abstract
    Using control theoretic techniques we give a necessary and sufficient condition for the convergence of attractors in one step discretizations of ordinary differential equations and obtain estimates for the resulting discretization error. The necessary and sufficient condition is based on the robustness property of an associated perturbed system, which is closely related to but slightly weaker than the input-to-state stability property well known in control theory
  • Keywords
    convergence of numerical methods; differential equations; perturbation techniques; stability; attractors; control theory; convergence; differential equations; discretization; necessary condition; perturbation; robustness; stability; sufficient condition; Control theory; Convergence; Differential equations; Error correction; Numerical stability; Robust control; Robust stability; Robustness; Stability analysis; Sufficient conditions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2000. Proceedings of the 39th IEEE Conference on
  • Conference_Location
    Sydney, NSW
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-6638-7
  • Type

    conf

  • DOI
    10.1109/CDC.2000.914107
  • Filename
    914107
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1744124