Abstract
In this paper, the authors design boundary feedback controllers at the interior node to stabilize a star-shaped network of Euler-Bernoulli beams. The beams are pinned each other, that is, the displacements of the structure are continuous but the rotations of the beams are not continuous. The well-posed-ness of the closed loop system is proved by the semigroup theory. The authors show that the system is asymptotically stable if the authors impose a bending moment control on each edge. Finally, the authors derive the exponential stability of the system.
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This research was supported by the National Natural Science Foundation of China under Grant No. 61174080.
This paper was recommended for publication by Editor FENG Dexing.
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Zhang, K., Xu, G. A pinned network of Euler-Bernoulli beams under feedback controls. J Syst Sci Complex 26, 313–334 (2013). https://doi.org/10.1007/s11424-013-0068-2
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DOI: https://doi.org/10.1007/s11424-013-0068-2