• DocumentCode
    1977985
  • Title

    Properties of the Euler-Bernoulli beam equation and the Kirchoff plate equation related to controllability

  • Author

    Littman, Walter

  • Author_Institution
    Dept. of Math., Minnesota Univ., Minneapolis, MN, USA
  • fYear
    1989
  • fDate
    13-15 Dec 1989
  • Abstract
    Summary form only given. A discussion is presented of the propagation of singularities, uniqueness questions, and other properties of the Euler-Bernoulli beam equation and the Kirchoff plate equation. A result previously obtained by the author (1985), which essentially gave an explicit solution to the boundary control problem for the plate equation utt+Δ2u=0, is expanded upon to give a representation formula for a solution in a cylinder in terms of the Cauchy data on the lateral boundary. The relationship of the results to questions of controllability is examined
  • Keywords
    boundary-value problems; controllability; distributed parameter systems; poles and zeros; Cauchy data; Euler-Bernoulli beam equation; Kirchoff plate equation; boundary control problem; controllability; lateral boundary; singularity propagation; uniqueness; Boundary conditions; Control systems; Control theory; Controllability; Displacement control; Equations; Information analysis; Mathematics; Optimal control; Smoothing methods;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1989., Proceedings of the 28th IEEE Conference on
  • Conference_Location
    Tampa, FL
  • Type

    conf

  • DOI
    10.1109/CDC.1989.70579
  • Filename
    70579
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1977985