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Modelling and controllability of networks of thin beams

  • J. E. Lagnese
  • G. Leugering
  • E. J. P. G. Schmidt
III Optimal Control III.2 Distributed Parameter Systems
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 180)

Keywords

Closed Loop System Multiple Node Joint Condition Reference Curve Shear Angle 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. [1]
    G. Blankenship, Application of homogenization theory to the control of flexible structures, in Stoch. Diff. Sys., Stoch. Control Th. and Appl., IMA Vol. Math. Appl., 10, Springer, NY, 1988, pp. 33–55.Google Scholar
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    G. Chen, M.C. Delfour, A.M. Krall and G. Payre, Modeling, stabilization and control of serially connected beams, SIAM J. Control Opt., 25 (1987), pp. 526–546.zbMATHCrossRefMathSciNetGoogle Scholar
  3. [3]
    J.E. Lagnese, G. Leugering and E.J.P.G. Schmidt, Modelling of dynamic networks of thin thermoelastic beams, to appear.Google Scholar
  4. [4]
    J.E. Lagnese, G. Leugering and E.J.P.G. Schmidt, Controllability of planar network of Timoshenko beams, to appear.Google Scholar
  5. [5]
    I. Lasiecka and D. Tataru, Uniform boundary stabilization of semilinear wave equations with nonlinear boundary conditions, to appear.Google Scholar
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    H. Le Dret, Modeling the junction between two rods, J. Math. Pures et Appl., 68 (1989), 365–397.zbMATHGoogle Scholar
  7. [7]
    E.J.P.G. Schmidt, On the modelling and exact controllability of networks of vibrating strings, SIAM J. Control Opt., to appear.Google Scholar

Copyright information

© International Federation for Information Processing 1992

Authors and Affiliations

  • J. E. Lagnese
    • 1
  • G. Leugering
    • 1
  • E. J. P. G. Schmidt
    • 2
  1. 1.Department of MathematicsGeorgetown UniversityWashington, DCUSA
  2. 2.Department of Mathematics and StatisticsMcGill UniversityMontrealCanada

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