Journal of Optimization Theory and Applications

, Volume 107, Issue 1, pp 51–68

Construction of the Control Realizing the Rotation of a Timoshenko Beam

  • V. I. Kororbov
  • W. Krabs
  • G. M. Skylar

DOI: 10.1023/A:1004652615867

Cite this article as:
Kororbov, V.I., Krabs, W. & Skylar, G.M. Journal of Optimization Theory and Applications (2000) 107: 51. doi:10.1023/A:1004652615867


We consider the linear model of a slowly rotating Timoshenko beam in a horizontal plane whose moment is controlled by the angular acceleration of the disk of the driving motor into which the beam is clamped. This work complements our previous results on the controllability of the beam from a position of rest into another position of rest; we give a method of construction of a piecewise constant control solving the problem.

Timoshenko beamcontrollabilitymoment problempiecewise constant control

Copyright information

© Plenum Publishing Corporation 2000

Authors and Affiliations

  • V. I. Kororbov
    • 1
    • 2
  • W. Krabs
    • 3
  • G. M. Skylar
    • 1
    • 4
  1. 1.Institute of MathematicsSzczecin UniversitySzczecinPoland
  2. 2.Department of Differential Equations and ControlKharkov State UniversityKharkovUkraine
  3. 3.Technische Universität DarmstadtDarmstadtGermany
  4. 4.Department of Mathematical AnalysisKharkov State UniversityKharkovUkraine