@inproceedings{3e700d74ee834a439b774885f056b96e,
title = "Continuous-time distributed algorithms for solving linear algebraic equation",
abstract = "In this paper, a multi-agent distributed continuous-time algorithm is proposed to solve a large-scale linear algebraic equation Ax = do. Unlike many existing results assuming each agent knows a few rows of A, the algorithm proposed in this paper assumes each agent knows a few columns of A. To solve the linear algebraic equation, the problem is first converted to an optimization problem with a linear constraint. Then, a distributed continuous-time algorithm is designed based on the Lagrangian function of the optimization problem. The algorithm is proved to solve the linear algebraic equation with any initial condition via a Lyapunov approach. An example is presented to show the efficacy of the proposed algorithm.",
keywords = "Distributed algorithms, Lagrangian function, Linear algebraic equation, Multi-agent systems",
author = "Kai Cao and Xianlin Zeng and Yiguang Hong",
note = "Publisher Copyright: {\textcopyright} 2017 Technical Committee on Control Theory, CAA.; 36th Chinese Control Conference, CCC 2017 ; Conference date: 26-07-2017 Through 28-07-2017",
year = "2017",
month = sep,
day = "7",
doi = "10.23919/ChiCC.2017.8028633",
language = "English",
series = "Chinese Control Conference, CCC",
publisher = "IEEE Computer Society",
pages = "8068--8073",
editor = "Tao Liu and Qianchuan Zhao",
booktitle = "Proceedings of the 36th Chinese Control Conference, CCC 2017",
address = "United States",
}