Null Controllability of the Stabilized Kuramoto-Sivashinsky System with One Distributed Control
نویسندگان
چکیده
This paper presents a control problem for a one-dimensional nonlinear parabolic system, which consists of a Kuramoto–Sivashinsky–Korteweg de Vries equation coupled to a heat equation. We address the problem of controllability by means of a control supported in an interior open subset of the domain and acting on one equation only. The local null-controllability of the system is proved. The proof is based on a Carleman estimate for the linearized system around the origin. A local inversion theorem is applied to get the result for the nonlinear system.
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عنوان ژورنال:
- SIAM J. Control and Optimization
دوره 53 شماره
صفحات -
تاریخ انتشار 2015