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

摘要

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. © American Institute of Mathematical Sciences.