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A Fixed-time Distributed Algorithm for Least Square Solutions of Linear Equations

Shuling Li, Wu Ai*, Jian Wu, and Quanxi Feng
International Journal of Control, Automation, and Systems, vol. 19, no. 3, pp.1311-1318, 2021

Abstract : This study presents a fixed-time convergent algorithm to achieve distributed least square (DLS) 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. Unlike finite-time counterparts, the settling time of the fixed-time distributed algorithm does not depend upon the initial states, and can be preassigned according to the requirements of the task. Numerical simulations verify the theoretical results.

Keyword : Distributed algorithms, fixed-time stability, least squares, linear equations.

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