@inproceedings{955bdf7d7add41d7be87f0f85e099a06,
title = "ODE compensation for an unstable heat equation",
abstract = "In this paper, an ODE dynamic feedback control is designed to compensate an unstable heat equation. Using Nyquist criterion for DPS, the relationship between the number of unstable poles and that of turns around the point (-1, 0) clockwise determines the effect of dynamic compensator clearly. Next, the well-posedness of the closed-loop system is verified by semigroup theory and Riesz basis method. At the same time, the system is proved to be exponentially stable. Finally, some numerical simulations are presented to demonstrate that the closed-loop system is stable and our proposed dynamic controller is an efficient tool to stabilize unstable heat equations.",
keywords = "Exponential stability, Heat equation, Nyquist criterion, ODE compensation, Well-posedness",
author = "Yu, {Xiu Fang} and Wang, {Jun Min}",
note = "Publisher Copyright: {\textcopyright} 2020 Technical Committee on Control Theory, Chinese Association of Automation.; 39th Chinese Control Conference, CCC 2020 ; Conference date: 27-07-2020 Through 29-07-2020",
year = "2020",
month = jul,
doi = "10.23919/CCC50068.2020.9189575",
language = "English",
series = "Chinese Control Conference, CCC",
publisher = "IEEE Computer Society",
pages = "2008--2013",
editor = "Jun Fu and Jian Sun",
booktitle = "Proceedings of the 39th Chinese Control Conference, CCC 2020",
address = "United States",
}