TY - GEN
T1 - A Distributed Algorithm for Solving A Time-Varying Linear Equation
AU - Zhang, Xiaozhen
AU - Yang, Qingkai
AU - Wei, Haijiao
AU - Chen, Wei
AU - Peng, Zhihong
AU - Fang, Hao
N1 - Publisher Copyright:
© 2023 IEEE.
PY - 2023
Y1 - 2023
N2 - 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)\ 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.
AB - 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)\ 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.
UR - http://www.scopus.com/inward/record.url?scp=85184827185&partnerID=8YFLogxK
U2 - 10.1109/CDC49753.2023.10383585
DO - 10.1109/CDC49753.2023.10383585
M3 - Conference contribution
AN - SCOPUS:85184827185
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 3160
EP - 3165
BT - 2023 62nd IEEE Conference on Decision and Control, CDC 2023
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 62nd IEEE Conference on Decision and Control, CDC 2023
Y2 - 13 December 2023 through 15 December 2023
ER -