Publication Cover
Applicable Analysis
An International Journal
Volume 86, 2007 - Issue 12
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Original Articles

Asymptotic behavior of some elastic planar networks of Bernoulli–Euler beams

Pages 1529-1548 | Received 08 Jan 2007, Accepted 03 Oct 2007, Published online: 21 Nov 2007

References

  • Ammari , K and Jellouli , M . 2007 . Remark in stabilization of tree-shaped networks of strings . Applied Mathematics , 4 : 327 – 343 .
  • Ammari , K and Jellouli , M . 2004 . Stabilization of star-shaped networks of strings . Differential and Integral Equations , 17 : 1395 – 1410 .
  • Ammari , K , Jellouli , M and Khenissi , M . 2005 . Stabilization of generic trees of strings . Journal of Dynamic and Control Systems , 11 : 177 – 193 .
  • Ammari , K and Tucsnak , M . 2001 . Stabilization of second order evolution equations by a class of unbounded feedbacks . ESAIM: Control, Optimisation and Calculus of Variations , 6 : 361 – 386 .
  • Ammari , K and Tucsnak , M . 2000 . Stabilization of the Bernoulli-Euler beams by means of a pointwise feedback force . SIAM Journal fo Control and Optimization , 39 : 1160 – 1181 .
  • Baiocchi , C , Komornik , V and Loreti , P . 2002 . Ingham-Beurling type theorems with weak-ened gap conditions . Acta Mathematics Hungarica , 97 : 55 – 95 .
  • Cassels , JWS . 1966 . An Introduction to Diophantine Approximation , Cambridge : Cambridge University Press .
  • Dáger , R . 2004 . Observation and control of vibrations in tree-shaped networks of strings . SIAM Journal on Control , 43 : 590 – 623 .
  • Dáger , R and Zuazua , E . 2006 . “ Wave Propagation, Observation and Control in 1 -d Flexible Multi-structures ” . In Mathématiques et Applications , Vol. 50 , Berlin : Springer Verlag .
  • Dekoninck , B and Nicaise , S . 2000 . The eigenvalue problem for networks of beams . Linear Algebra and its Applications , 314 : 165 – 189 .
  • Komornik , V and Loreti , P . 2005 . Fourier Series in Control Theory , New York : Springer/Verlag .
  • Lagnese , J , Leugerning , G and Schmidt , EJPG . 1994 . Modeling, Analysis of Dynamic Elastic Multi-link structures , Boston-Basel-Berlin : Birkhäuser .
  • Lang , S . 1966 . Introduction to Diophantine Approximations , New york : Addison Wesley .
  • Lions , JL and Magenes , E . 1968 . Problèmes aux limites non homogénes et applications , Paris : Dunod .
  • Pazy , A . 1983 . Semigroups of Linear Operators and Applications to Partial Differential Equations , New York : Springer .

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