@inproceedings{a07e75b9e68a44539990bfdbc1617110,
title = "Stabilization of linearized Korteweg-de Vries systems with anti-diffusion by boundary feedback with non-collocated observation",
abstract = "This paper addresses the problem of stabilizing a class of one-dimensional linearized Korteweg-de Vries systems with possible anti-diffusion (LKdVA for short), through control at one end and non-collocated observation at the other end. An exponentially convergent observer is designed, and then a dynamical stabilizing output feedback boundary controller is constructed based on the observer. The resulting closed-loop systems can achieve arbitrary exponential decay rate. In order to derive invertibility of the kernel function in the backstepping transformation between the observer error systems and its corresponding target systems, stabilizing of a critical case of LKdVA is considered in the Appendix, which can also be treated as a preliminary problem for the main part of this paper.",
keywords = "Anti-diffusion, Backstepping, Linearized Korteweg-de Vries systems, Observer, Output feedback",
author = "Shuxia Tang and Miroslav Krstic",
note = "Publisher Copyright: {\textcopyright} 2015 American Automatic Control Council.; null ; Conference date: 01-07-2015 Through 03-07-2015",
year = "2015",
month = jul,
day = "28",
doi = "10.1109/ACC.2015.7171020",
language = "English",
series = "Proceedings of the American Control Conference",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "1959--1964",
booktitle = "ACC 2015 - 2015 American Control Conference",
}