✦ LIBER ✦

Stabilization of Vibrating Beam with a Tip Mass Controlled by Combined Feedback Forces

✍ Scribed by Shengjia Li; Yiaoting Wang; Zhandong Liang; Jingyuan Yu; Guangtian Zhu

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 164 KB
Volume: 256
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.2000.7217

No coin nor oath required. For personal study only.

✦ Synopsis

asymptotic analysis of the system's eigenvalues and eigenfunctions is set up. We Ž . prove that all of the generalized eigenfunctions of 2.9 form a Riesz basis of H H. By a new method, we prove that the operator A A generates a C contraction semigroup 0 Ž .

Ž . T t , t G 0. Furthermore T t , t G 0, is uniformly exponentially stable and the optimal exponential decay rate can be obtained from the spectrum of the system.

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