Free Access
Issue
ESAIM: COCV
Volume 4, 1999
Page(s) 57 - 81
DOI https://doi.org/10.1051/cocv:1999103
Published online 15 August 2002
  1. F. Ali Mehmeti, A characterisation of generalized C notion on nets. Int. Eq. and Operator Theory 9 (1986) 753-766. [CrossRef] [Google Scholar]
  2. F. Ali Mehmeti, Regular solutions of transmission and interaction problems for wave equations. Math. Meth. Appl. Sci. 11 (1989) 665-685. [CrossRef] [Google Scholar]
  3. J.M. Ball and M. Slemrod, Nonharmonic Fourier series and the stabilization of distributed semi-linear control systems. Comm. Pure Appl. Math. 32 (1979) 555-587. [CrossRef] [MathSciNet] [Google Scholar]
  4. J. von Below, A characteristic equation associated to an eigenvalue problem on c2-networks. Linear Alg. Appl. 71 (1985) 309-325. [CrossRef] [Google Scholar]
  5. J. von Below, Classical solvability of linear parabolic equations on networks. J. Diff. Eq. 72 (1988) 316-337. [CrossRef] [Google Scholar]
  6. J. von Below, Sturm-Liouville eigenvalue problems on networks. Math. Meth. Appl. Sci. 10 (1988) 383-395. [CrossRef] [Google Scholar]
  7. J. von Below, Parabolic Network Equations. Habilitation Thesis, Eberhard-Karls-Universität Tübingen (1993). [Google Scholar]
  8. J. von Below and S. Nicaise, Dynamical interface transition with diffusion in ramified media. Comm. Partial Diff. Eq. 21 (1996) 255-279. [CrossRef] [Google Scholar]
  9. A. Borovskikh, R. Mustafokulov, K. Lazarev and Yu. Pokornyi, A class of fourth-order differential equations on a spatial net. Doklady Math. 52 (1995) 433-435. [Google Scholar]
  10. G. Chen, M. Delfour, A. Krall and G. Payre, Modelling, stabilization and control of serially connected beams. SIAM J. Control and Opt. 25 (1987) 526-546. [CrossRef] [MathSciNet] [Google Scholar]
  11. G. Chen, S. Krantz, D. Russell, C. Wayne, H. West and M. Coleman, Analysis, design, and behavior of dissipative joints for coupled beams. SIAM J. Appl. Math. 49 (1989) 1665-1693. [CrossRef] [MathSciNet] [Google Scholar]
  12. G. Chen and J. Zhou, The wave propagation method for the analysis of boudary stabilization in vibrating structures. SIAM J. Appl. Math. 50 (1990) 1254-1283. [CrossRef] [MathSciNet] [Google Scholar]
  13. P.G. Ciarlet, H. Le Dret and R. Nzengwa, Junctions between three-dimension and two-dimensional linearly elastic structures. J. Math. Pures Appl. 68 (1989) 261-295. [MathSciNet] [Google Scholar]
  14. F. Conrad, Stabilization of vibrating beams by a specific feedback, A.V. Balakrishnan and J.P. Zolésio Eds., Stabilization of flexible structures, Opt. Software Inc. (1988) 36-51. [Google Scholar]
  15. B. Dekoninck and S. Nicaise, The eigenvalue problem for networks of beams. Preprint LIMAV 96-9, University of Valenciennes, Linear Alg. Appl. (submitted). [Google Scholar]
  16. P. Grisvard, Elliptic problems in nonsmooth domains. Monographs and Studies in Mathematics 21 (Pitman, Boston, 1985). [Google Scholar]
  17. P. Grisvard, Contrôlabilité exacte des solutions de l'équation des ondes en présence de singularités. J. Math. Pures Appl. 68 (1989) 215-259. [MathSciNet] [Google Scholar]
  18. A.E. Ingham, Some trigonometrical inequalities with applications in the theory of series. Math. Z. 41 (1936) 367-369. [CrossRef] [MathSciNet] [Google Scholar]
  19. V. Komornik, Exact controllability and stabilization. The multiplier method. RMA 36 Masson, Paris (1994). [Google Scholar]
  20. J.E. Lagnese, Modeling and controllability of plate-beam systems. J. Math. Systems, Estimation and Control. 5 (1995) 141-187. [Google Scholar]
  21. J.E. Lagnese, G. Leugering and E.J.P.G. Schmidt, Modeling of dynamic networks of thin thermoelastic beams. Math. Meth. Appl. Sci. 16 (1993) 327-358. [CrossRef] [Google Scholar]
  22. J.E. Lagnese, G. Leugering and E.J.P.G. Schmidt, Control of planar networks of Timoshenko beams. SIAM J. Cont. Opt. 31 (1993) 780-811. [CrossRef] [Google Scholar]
  23. J.E. Lagnese, G. Leugering and E.J.P.G. Schmidt, Modeling, analysis and control of dynamic elastic multi-link structures, Birkhäuser, Boston (1994). [Google Scholar]
  24. H. Le Dret, Problèmes variationnels dans les multi-domaines. Modélisation des jonctions et applications. RMA 19, Masson, Paris (1991). [Google Scholar]
  25. G. Leugering and E.J.P.G. Schmidt, On the control of networks of vibrating strings and beams, in Proc. of the 28th IEEE Conference on Decision and Control, Vol. 3, IEEE (1989) 2287-2290. [Google Scholar]
  26. J.-L. Lions, Contrôlabilité exacte, perturbations et stabilisation de systèmes distribués. Tome 1, RMA 8, Masson, Paris (1988). [Google Scholar]
  27. S. Nicaise, Exact controllability of a pluridimensional coupled problem. Rev. Math. Univ. Complutense Madrid 5 (1992) 91-135. [Google Scholar]
  28. S. Nicaise, About the Lamé system in a polygonal or a polyhedral domain and a coupled problem between the Lamé system and the plate equation II: Exact controllability. Ann. Scuola Normale Sup. Pisa, Series IV 20 (1993) 163-191. [Google Scholar]
  29. S. Nicaise, Boundary exact controllability of interface problems with singularities I: Addition of the coefficients of singularities. SIAM J. Contr. Opt. 34 (1996) 1512-1533. [CrossRef] [Google Scholar]
  30. S. Nicaise, Boundary exact controllability of interface problems with singularities II: Addition of internal controls. SIAM J. Contr. Opt. 35 (1997) 585-603. [CrossRef] [Google Scholar]
  31. J.P. Puel and E. Zuazua, Exact controllability for a model of multidimensional flexible structure. Proc. Royal Soc. Edinburgh 123 A (1993) 323-344. [Google Scholar]
  32. E.J.P.G. Schmidt, On the modelling and exact controllability of networks of vibrating strings. SIAM J. Contr. Opt. 30 (1992) 229-245. [CrossRef] [Google Scholar]

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