The Riesz basis property of discrete operators and application to a Euler-Bernoulli beam equation with boundary linear feedback control |
| |
| Authors: | Guo Bao-Zhu; Yu Runyi |
| |
| Institution: |
1 Institute of Systems Science, Academy of Mathematics and System Sciences, Academia Sinica, Beijing 100080, People's Republic of China 2 Department of Electrical and Electronic Engineering, Eastern Mediterranean University, Gazimagusa, Mersin-10 Turkey
|
| |
| Abstract: | In this paper, we give an abstract condition of Riesz basisgeneration for discrete operators in Hilbert spaces, from whichwe show that the generalized eigenfunctions of a Euler–Bernoullibeam equation with boundary linear feedback control form a Rieszbasis for the state Hilbert space. As an consequence, the asymptoticexpression of eigenvalues together with exponential stabilityare readily presented. |
| |
| Keywords: | discrete operator Riesz basis spectrum- determined growth condition |
| 本文献已被 Oxford 等数据库收录！ |
|
