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Modelling and controllability of networks of thin beams

  • III Optimal Control
  • Conference paper
  • First Online:
System Modelling and Optimization

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 180))

Research supported by the Air Force Office of Scientific Research through grant AFOSR 88-0337.

Research supported by the Deutsche Forschungsgemeinschaft (DFG), Heisenbergreferat, L-595-3-1.

Research supported by the Natural Science and Engineering Research Council Grant A7271.

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References

  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 

  2. 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.

    Article  MATH  MathSciNet  Google Scholar 

  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. J.E. Lagnese, G. Leugering and E.J.P.G. Schmidt, Controllability of planar network of Timoshenko beams, to appear.

    Google Scholar 

  5. I. Lasiecka and D. Tataru, Uniform boundary stabilization of semilinear wave equations with nonlinear boundary conditions, to appear.

    Google Scholar 

  6. H. Le Dret, Modeling the junction between two rods, J. Math. Pures et Appl., 68 (1989), 365–397.

    MATH  Google Scholar 

  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 

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Author information

Authors and Affiliations

  1. Department of Mathematics, Georgetown University, 20057, Washington, DC, USA

    J. E. Lagnese & G. Leugering

  2. Department of Mathematics and Statistics, McGill University, 805 Sherbrooke St. West, H3A2K6, Montreal, Quebec, Canada

    E. J. P. G. Schmidt

Authors
  1. J. E. Lagnese
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  2. G. Leugering
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  3. E. J. P. G. Schmidt
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Editor information

L. D. Davisson A. G. J. MacFarlane H. Kwakernaak J. L. Massey Ya Z. Tsypkin A. J. Viterbi Peter Kall

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© 1992 International Federation for Information Processing

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Lagnese, J.E., Leugering, G., Schmidt, E.J.P.G. (1992). Modelling and controllability of networks of thin beams. In: Davisson, L.D., et al. System Modelling and Optimization. Lecture Notes in Control and Information Sciences, vol 180. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0113314

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  • DOI: https://doi.org/10.1007/BFb0113314

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-55577-3

  • Online ISBN: 978-3-540-47220-9

  • eBook Packages: Springer Book Archive

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