Abstract

In this paper we study a star-shaped network of Euler-Bernoullibeams, in which a new geometric condition at the common node isimposed. For the network, we give a method to assert whether ornot the system is asymptotically stable. In addition, by spectralanalysis of the system operator, we prove that there exists asequence of its root vectors that forms a Riesz basis withparentheses for the Hilbert state space.

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