Tucsnak, M. ; Vanninathan, M. (2009) Locally distributed control for a model of fluid-structure interaction Systems & Control Letters, 58 (8). pp. 547-552. ISSN 0167-6911
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Official URL: http://www.sciencedirect.com/science/article/pii/S...
Related URL: http://dx.doi.org/10.1016/j.sysconle.2009.03.002
Abstract
We consider the equations modeling the coupled vibrations of a fluid-solid system. The control acts in a subset of a domain occupied by the fluid. Our main result asserts that we have exact controllability and exponential stabilizability provided that the support of the control contains a neighborhood of the solid and a neighborhood of the exterior boundary. This improves the existing exact controllability results, which require a control which is active in the whole fluid domain. The proof is based on a frequency domain approach, combined with the use of appropriate multipliers. Moreover, we show that the strong stabilizability property holds for any open control region.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| Keywords: | Fluid Structure Interaction; Controllability; Stabilizability; Hautus Test |
| ID Code: | 55328 |
| Deposited On: | 18 Aug 2011 07:10 |
| Last Modified: | 18 Aug 2011 07:10 |
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