Distributed optimization of multi-agent with communication delay and directed network
YANG Zheng-quan
PAN Xiao-fang
ZHANG Qing
CHEN Zeng-qiang
Abstract：This paper studies the distributed optimization problem for the first-order multi-agent systems in unbalanced directed topology. Each agent has a time delay in the communication process with its neighbors. Our goal is to find a state of the agent that minimizes the objective function f (x) =(NΣi=1)fi(xi). A controller based on the left eigenvector corresponding to the zero eigenvalue of L of the graph G and the local information of each agent is proposed. In this study, the bounded requirement of the gradient of fi(xi) is removed, and it does not require the network to be balanced. Under some assumptions, all agents reach the same state while minimizing the objective function (NΣi=1)fi(xi). Finally, a numerical simulation illustrates the results of this article.
Keywords：communication delaymulti-agent systemsdistributed optimizationunbalanced directed network
Publication Date：2021-09-28
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：7( 1414-1420 )