Flocking of a locally interacting multi‐agent system with a unit speed constraint
Flocking of a locally interacting multi‐agent system with a unit speed constraint
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DOI：
10.1002/mma.9801
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发表时间：
2023-11
影响因子：
2.9
通讯作者：
Chunyin Jin;Shuangzhi Li
中科院分区：
文献类型：
--
作者：
Chunyin Jin;Shuangzhi Li
在本文中，我们研究了具有单位速度约束的局部交互多智能体系统的集群行为。利用连接随机矩阵的谱间隙，再加上对线性化系统扰动的精心估计，我们获得了仅对初始数据和模型参数施加的充分条件，以保证聚集，并进一步表明系统以指数速率达成共识。
In this paper, we study the flocking behavior of a locally interacting multi‐agent system with a unit speed constraint. Using the spectral gap of a connected stochastic matrix, together with an elaborate estimation on perturbations of a linearized system, we obtain a sufficient condition imposed only on initial data and model parameters to guarantee flocking and further show that the system achieves a consensus at an exponential rate.