Open AccessBoundary feedback stabilization of a Rao-Nakra sandwich beam
Author(s) -
Yan Wang
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1324/1/012044
Subject(s) - semigroup , dissipative system , boundary (topology) , beam (structure) , mathematics , polynomial , generator (circuit theory) , boundary value problem , mathematical analysis , operator (biology) , domain (mathematical analysis) , physics , power (physics) , biochemistry , chemistry , repressor , quantum mechanics , transcription factor , optics , gene
In this paper, we study the boundary feedback stabilization of a three-layer Rao-Nakra sandwich beam. Since we found a proper state space so that the energy of the system is dissipative. We then convert the beam system to an abstract first-order evolution equation with operator A . Afterwards, we obtain A is the infinitesimal generator of a C 0 – semigroup of contractions by using semigroup theory. The boundary damping makes the system is stable of order 1/2, which is proved by using the frequency domain characterization of polynomial stability.