A Fixed-Time Distributed Algorithm for Least Square Solutions of Linear Equations
Wu Ai, Shuling Li, Jian Min Wu, Quanxi Feng · 2019
In this paper, we presents a fixed-time convergent distributed algorithm to achieve least square solutions of networked linear equations. Each agent in the network only knows a subset of the equations and can only exchange messages with its nearest neighbors. Compared with the finite-time algorithm, it is shown that the settling time is independent to the initial states of the algorithm and can be preassign according to requirements of the task. A numerical example is provided to illustrate the effectiveness of the theoretical result.