The Riesz basis property of discrete operators and application to a Euler-Bernoulli beam equation with boundary linear feedback control |
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| Authors: | Guo, Bao-Zhu Yu, Runyi |
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| Affiliation: | 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 |
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| 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 EulerBernoullibeam 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. |
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| Keywords: | discrete operator Riesz basis spectrum- determined growth condition. |
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