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Fredholm transform and local rapid stabilization for a Kuramoto–Sivashinsky equation.
- Source :
-
Journal of Differential Equations . Oct2015, Vol. 259 Issue 8, p3683-3729. 47p. - Publication Year :
- 2015
-
Abstract
- This paper is devoted to the study of the local rapid exponential stabilization problem for a controlled Kuramoto–Sivashinsky equation on a bounded interval. We build a feedback control law to force the solution of the closed-loop system to decay exponentially to zero with arbitrarily prescribed decay rates, provided that the initial datum is small enough. Our approach uses a method we introduced for the rapid stabilization of a Korteweg–de Vries equation. It relies on the construction of a suitable integral transform and can be applied to many other equations. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00220396
- Volume :
- 259
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- Journal of Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 108360406
- Full Text :
- https://doi.org/10.1016/j.jde.2015.05.001