@article{Xie2025, 
author = {Yaru Xie and Ruiqing Gao},
title = {Controller design for chain-type wave network models with boundary delays},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {2},
pages = {3484-3499},
keywords = {chain wave network, input delay, controller design, exponential stabilization, PDE-coupled system},
url = {https://www.sciopen.com/article/10.3934/math.2025161},
doi = {10.3934/math.2025161},
abstract = {In this paper, we consider the design method of full-state integral feedback controllers, selecting appropriate target systems, establishing equivalent transformations, and completing the stability analysis of the original system while avoiding a large amount of complex calculations and proofs. This research attempts to establish a universally applicable controller design strategy that can not only eliminate the negative effects of system delays, but also ensure the closed-loop stability. Therefore, this paper further explores the applicability of this controller design strategy in complex PDE-coupled systems, seeks general patterns, and has further theoretical and practical value for the stability study of infinite-dimensional time-delay systems.}
}