Abstract
This paper studies the regularity of Euler-Bernoulli equations on a bounded domain of R n (n ≥ 2) with boundary controls and collocated observations. The authors consider the Dirichlet controls in the case of hinged and clamped boundary controls respectively. It is shown that the systemsare regular in the sense of G. Weiss. The feedthrough operators are founded to be zero.
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This research was supported by the National Natural Science Foundation of China under Grant No. 11171195,and the National Natural Science Foundation of China for the Youth under Grant No. 61403239, and theNational Natural Science Foundation of Shanxi Province under Grant No. 2013011003-2.
This paper was recommended for publication by Editor FENG Dexing.
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Wen, R., Chai, S. Regularity for Euler-Bernoulli equations with boundary control and collocated observation. J Syst Sci Complex 28, 788–798 (2015). https://doi.org/10.1007/s11424-014-3012-1
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DOI: https://doi.org/10.1007/s11424-014-3012-1