Bose, Sujit K. ; Gorain, Ganesh C. (2002) Exact controllability and boundary stabilization of flexural vibrations of an internally damped flexible space structure Applied Mathematics and Computation, 126 (2-3). pp. 341-360. ISSN 0096-3003
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Official URL: http://linkinghub.elsevier.com/retrieve/pii/S00963...
Related URL: http://dx.doi.org/10.1016/S0096-3003(00)00112-0
Abstract
We consider a problem of flexural vibrations of a flexible rectangular panel, incorporating small internal damping of the material. The panel is hoisted by a rigid hub at one end and the other end totally free. For attachment of the rigid hub on one side of the panel, its dynamics leads to a nonstandard boundary condition and the whole system becomes a hybrid system of dynamics. The exact controllability theory is established using the Hilbert Uniqueness Method, by means of an active control applied only on the rigid hub. The uniform exponential decay of solution is also obtained directly for such formulation with viscous boundary damping at the hub end only.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| Keywords: | Exact Controllability; Boundary Stabilization; Exponential Energy Decay; Flexural Vibrations; Hilbert Uniqueness Method; Hybrid System; Adjoint System; Internally Damped Wave |
| ID Code: | 6270 |
| Deposited On: | 20 Oct 2010 11:20 |
| Last Modified: | 28 May 2011 06:53 |
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