Year: 2018
Author: Xiangqing Zhao, Meng Bai
Journal of Partial Differential Equations, Vol. 31 (2018), Iss. 1 : pp. 29–46
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v31.n1.3
Journal of Partial Differential Equations, Vol. 31 (2018), Iss. 1 : pp. 29–46
Published online: 2018-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
Keywords: High-order KdV equation