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The Riesz basis property of discrete operators and application to a Euler-Bernoulli beam equation with boundary linear feedback control
- Source :
- 1999 IEEE Africon. 5th Africon Conference in Africa (Cat. No.99CH36342).
- Publication Year :
- 1999
- Publisher :
- IEEE, 1999.
-
Abstract
- We give an abstract condition for Riesz basis generation for discrete operators in Hilbert space, from which we show that the generalized eigenfunctions of a Euler-Bernoulli beam equation with boundary linear feedback control form a Riesz basis for the state Hilbert space. As a consequence, the asymptotic expression of eigenvalues as well as exponential stability are readily presented.
Details
- Database :
- OpenAIRE
- Journal :
- 1999 IEEE Africon. 5th Africon Conference in Africa (Cat. No.99CH36342)
- Accession number :
- edsair.doi...........104be1abc7c7f0c2aa6fd1c81f731a50