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Stability and Riesz basis property of a star-shaped network of Euler-Bernoulli beams with joint damping

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  • In this paper we study a star-shaped network of Euler-Bernoulli beams, in which a new geometric condition at the common node is imposed. For the network, we give a method to assert whether or not the system is asymptotically stable. In addition, by spectral analysis of the system operator, we prove that there exists a sequence of its root vectors that forms a Riesz basis with parentheses for the Hilbert state space.
    Mathematics Subject Classification: Primary: 35B40, 35C10; Secondary: 93D20, 94C99.

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