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.

中文翻译：

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线性方程最小二乘解的一种固定时间分布式算法

本研究提出了一种固定时间收敛算法，以实现网络线性方程的分布式最小二乘 (DLS) 解。网络中的每个代理只知道方程的一个子集，并且只能与其最近的邻居交换消息。与有限时间对应物不同，固定时间分布式算法的稳定时间不依赖于初始状态，可以根据任务要求预先分配。数值模拟验证了理论结果。