.png){kind=icon}
.png){kind=icon}
Return
Distributed Predefined-Time Algorithm for System of Linear Equations Over Directed Networks
.png){kind=icon}
PRE
AI
DOI：10.1109/TCSII.2023.3333325.png)
.png){kind=icon}
Original request for help.png){kind=icon}
Share.png){kind=icon}
Save
Abstract
En 中文
In this brief, we propose a predefined-time algorithm based on multi-agent networks for solving linear equations of the form $Ax = b$ , where the predefined-time can be predesigned by the user and each agent only knows partial rows of the augmented matrix $(A\; b)$ . By reformulating the system of linear equations as an unconstrained optimization problem and applying the time-base generator technology to optimization approaches, we provide a gradient-based predefined-time algorithm over weight-balanced directed graphs, which can converge to a solution at a given time. Finally, this theoretical results are illustrated by a numerical examples.
Keywords:
Distributed algorithm
multi-agent network
predefined-time
directed graphs
system of linear equations
Journal
I
IF:
4.9
Papers:
8.8K
Citations:
2.5W