The following information was submitted:
Transactions: WSEAS TRANSACTIONS ON SYSTEMS
Transactions ID Number: 29-168
Full Name: Genqi Xu
Position: Professor
Age: ON
Sex: Male
Address: Department of Mathematics, Tianjin University, China 300072
Country: CHINA
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E-mail address: gqxu@tju.edu.cn
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Title of the Paper: Stability of a Complex Network of Euler-Bernoulli Beams
Authors as they appear in the Paper: Kui Ting Zhang, Gen Qi Xu, Nikos E. Mastorakis
Email addresses of all the authors: zhangkt@tju.edu.cn,gqxu@tju.edu.cn,mastor@hna.gr
Number of paper pages: 11
Abstract: A complex network of Euler-Bernoulli beams is studied in this paper. As for this network, the boundary vertices are clamped, the displacements of the structure are continuous but the rotations of different beams are not continuous at the interior vertices. The feedback controller are designed at the interior nodes to stabilize the elastic system. The well-posed-ness of the closed loop system is proved by the semigroup theory. By complete spectral analysis of the system operator, the distribution of spectrum, the completeness and the Riesz basis property of the roots vectors of the system operator are given. As a consequence, the asymptotical stability of the system is derived under certain conditions.
Keywords: Euler-Bernoulli beam, network, spectral analysis, stability
EXTENSION of the file: .pdf
Special (Invited) Session: Spectrum of A complex Network of Euler-Bernoulli Beams
Organizer of the Session: 612-336
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