论文标题
球体上的最佳共识控制模型
Optimal consensus control models on the sphere
论文作者
论文摘要
在本文中，我们研究了带有控制信号的球体上的共识模型，其中考虑了第一阶和二阶系统。我们提供了最佳控制 - 设备对的存在，并以最低原理形式得出了一阶最佳条件。还提供了数字模拟，以表明获得的最佳控制可以帮助加速达成共识的过程。
In this paper, we investigate the consensus models on the sphere with control signals, where both the first and second order systems are considered. We provide the existence of the optimal control-trajectory pair and derive the first order optimality condition taking the form of the Pontryagin Minimum Principle. Numeric simulations are also presented to show that the obtained optimal control can help to accelerate the process of reaching a consensus.
