@Article{JPDE-31-29,
author = {Zhao , Xiangqing and Bai , Meng},
title = {Control and Stabilization of High-Order KdV Equation Posed on the Periodic Domain},
journal = {Journal of Partial Differential Equations},
year = {2018},
volume = {31},
number = {1},
pages = {29--46},
abstract = {<p>In this paper, we study exact controllability and feedback stabilization for the distributed parameter control systemdescribed by high-order KdV equation posed on a periodic domain T with an internal control acting on an arbitrary small nonempty subdomain ω of T. On one hand, we show that the distributed parameter control system is locally exactly controllable with the help of Bourgain smoothing effect; on the other hand, we prove that the feedback system is locally exponentially stable with an arbitrarily large decay rate when Slemrod’s feedback input is chosen.</p>},
issn = {2079-732X},
doi = {https://doi.org/10.4208/jpde.v31.n1.3},
url = {http://global-sci.org/intro/article_detail/jpde/12510.html}
}