TY - GEN
T1 - Distributed continuous-time algorithm to solve a linear matrix equation
AU - Deng, Wen
AU - Zeng, Xianlin
AU - Hong, Yiguang
N1 - Publisher Copyright:
© 2018 IEEE.
PY - 2018/7/2
Y1 - 2018/7/2
N2 - We study the distributed solving process of one class of linear matrix equations such as ∑i=1rAiXBi = ∑i=1rCi, using a continuous-time optimization method over multi-agent networks. In the problem formulation, each agent i is aware of Ai, Bi, Ci and communicates with its neighbors. Next, a continuous-time distributed algorithm presented is to solve its least squares solution from a distributed constrained optimization viewpoint. With help of the Lyapunov stability and semi-stability analysis, we prove the convergence of the algorithm and provide two numerical examples.
AB - We study the distributed solving process of one class of linear matrix equations such as ∑i=1rAiXBi = ∑i=1rCi, using a continuous-time optimization method over multi-agent networks. In the problem formulation, each agent i is aware of Ai, Bi, Ci and communicates with its neighbors. Next, a continuous-time distributed algorithm presented is to solve its least squares solution from a distributed constrained optimization viewpoint. With help of the Lyapunov stability and semi-stability analysis, we prove the convergence of the algorithm and provide two numerical examples.
UR - https://www.scopus.com/pages/publications/85062567760
U2 - 10.1109/RCAR.2018.8621638
DO - 10.1109/RCAR.2018.8621638
M3 - Conference contribution
AN - SCOPUS:85062567760
T3 - 2018 IEEE International Conference on Real-Time Computing and Robotics, RCAR 2018
SP - 296
EP - 301
BT - 2018 IEEE International Conference on Real-Time Computing and Robotics, RCAR 2018
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2018 IEEE International Conference on Real-Time Computing and Robotics, RCAR 2018
Y2 - 1 August 2018 through 5 August 2018
ER -