Name
Abstract | ||
|---|---|---|
A vibrating system with some kind of internal damping represents a distributed or passive control. In this article, a wave equation with clamped boundary conditions and internal Kelvin-Voigt damping is considered. It is shown that the spectrum of system operator is composed of two parts: point spectrum and continuous spectrum. The point spectrum is consist of isolated eigenvalues of finite algebraic multiplicity, and the continuous spectrum is an interval on the left real axis. The asymptotic behavior of eigenvalues is presented. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1109/CDC.2009.5399989 | CDC |
Keywords | Field | DocType |
eigenvalues,wave equation,internal kelvin-voigt damping,vibrations,point spectrum,passive control,distributed control,finite algebraic multiplicity,wave equations,frequency analysis,vibrating system,clamped boundary conditions,eigenvalues and eigenfunctions,boundary-value problems,damping,continuous spectrum,data mining,hilbert space,boundary value problems,boundary conditions,propagation,boundary condition,spectrum | Hilbert space,Boundary value problem,Continuous spectrum,Mathematical optimization,Mathematical analysis,Complex plane,Vibration,Wave equation,Asymptotic analysis,Eigenvalues and eigenvectors,Mathematics | Conference |
ISSN | ISBN | Citations |
0191-2216 E-ISBN : 978-1-4244-3872-3 | 978-1-4244-3872-3 | 0 |
PageRank | References | Authors |
0.34 | 4 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Bao-Zhu Guo | 1 | 1178 | 117.67 |
| Jun-Min Wang | 2 | 219 | 29.95 |
| Guo-Dong Zhang | 3 | 0 | 0.34 |