基于紧化方法的一阶时变多智能体系统的指数一致性形成
Exponential Consensus Formation in Time-Varying Multiagent Systems via Compactification Methods
AI总结:
本文基于紧化技术,在宽松假设下证明了一阶时变多智能体系统直径与方差的指数收缩结果,从而实现了系统的指数一致性形成。
摘要:
本文针对一般一阶多智能体系统,建立了其直径与方差的指数收缩结果。该方法基于紧化技术,并在相当宽松的假设下成立。即我们假设在给定长度的所有时间窗口上,系统的平均交互图的 scrambling 系数或代数连通性均一致为正。
英文摘要:
In this article, we establish exponential contraction results for the diameter and variance of general first-order multiagent systems. Our approach is based on compactification techniques, and works under rather mild assumptions. Namely, we posit that either the scrambling coefficient, or the algebraic connectivity of the averaged interaction graphs of the system over all time windows of a given length are uniformly positive.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。