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Journal Articles Journal of Systems Science and Complexity Year : 2009

Control and stabilization of the Korteweg-de Vries equation : recent progresses

Abstract

The study of the control and stabilization of the KdV equation began with the work of Russell and Zhang in late 1980s. Both exact control and stabilization problems have been intensively studied since then and signi¯cant progresses have been made due to many people's hard work and contributions. In this article, the authors intend to give an overall review of the results obtained so far in the study but with an emphasis on its recent progresses. A list of open problems is also provided for further investigation.

Dates and versions

hal-00600652 , version 1 (15-06-2011)

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Lionel Rosier, Bing-Yu Zhang. Control and stabilization of the Korteweg-de Vries equation : recent progresses. Journal of Systems Science and Complexity, 2009, 22 (4), pp.647-682. ⟨10.1007/s11424-009-9194-2⟩. ⟨hal-00600652⟩
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