@inproceedings{a3d41a89accc40cf9b7a2468f3c307c4,
title = "A Distributed Algorithm for Solving A Time-Varying Linear Equation",
abstract = "This paper studies the problem of cooperatively solving a time-varying linear equation of the form A(t)x(t)= b(t), which always has a unique solution. Each agent has access to only some rows of the time-varying augmented matrix [A(t)\textbackslash{} b(t)]. We propose a distributed algorithm for solving the time-varying linear equation. The proposed distributed algorithm enforces local solutions to track local time-varying manifolds corresponding to local linear sub-equations while simultaneously reaching a consensus. This enables all local solutions to converge to the solution of the original time-varying linear equation. Finally, the effectiveness of the proposed algorithm is demonstrated through its application in a cooperative monitoring task.",
author = "Xiaozhen Zhang and Qingkai Yang and Haijiao Wei and Wei Chen and Zhihong Peng and Hao Fang",
note = "Publisher Copyright: {\textcopyright} 2023 IEEE.; 62nd IEEE Conference on Decision and Control, CDC 2023 ; Conference date: 13-12-2023 Through 15-12-2023",
year = "2023",
doi = "10.1109/CDC49753.2023.10383585",
language = "English",
series = "Proceedings of the IEEE Conference on Decision and Control",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "3160--3165",
booktitle = "2023 62nd IEEE Conference on Decision and Control, CDC 2023",
address = "United States",
}