@inproceedings{03ccf0473cc14dba9d2518d62261b998,
title = "Boundary stabilization of coupled time fractional parabolic PDEs subject to disturbances",
abstract = "In this paper, we investigate the input-to-state stabilization of time fractional parabolic partial differential equations subject to disturbances in all channels. We transform the origin system to an equivalent target system by backstepping method, then a boundary state feedback sliding mode controller is designed to reject the matched disturbance. The existence of generalized solution for closed-loop system is proven by Galerkin's method. We prove the input-to-state stability of closedloop system in Mittag-Leffler sense. Finally, we some numerical examples to illustrate the validity of our theoretical results.",
keywords = "Backstepping method, Galerkin's method, Sliding mode control",
author = "Jiake Sun and Junmin Wang",
note = "Publisher Copyright: {\textcopyright} 2024 Technical Committee on Control Theory, Chinese Association of Automation.; 43rd Chinese Control Conference, CCC 2024 ; Conference date: 28-07-2024 Through 31-07-2024",
year = "2024",
doi = "10.23919/CCC63176.2024.10662700",
language = "English",
series = "Chinese Control Conference, CCC",
publisher = "IEEE Computer Society",
pages = "1111--1116",
editor = "Jing Na and Jian Sun",
booktitle = "Proceedings of the 43rd Chinese Control Conference, CCC 2024",
address = "United States",
}