基于椭球积分的集群扰动及其数值方法
Cluster Disturbance Based on Ellipsoid Calculus and Its Numerical Method
摘要: 本文基于椭球积分考察了具有随机扰动的集群控制问题。通过HJB方程计算值函数,并建立数值方法得到集群的最优控制。主要结论可用于处理集群在风场、信号场等现实场景的运动控制问题。
Abstract: In this paper, the cluster control problem with random disturbance is investigated based on the ellipsoid integral. The value function is calculated by the HJB equation, and a numerical method is established to obtain the optimal control of the swarm. The main conclusions can be used to deal with the movement of the cluster in real scenes such as wind field and signal field.
文章引用:侯敏, 敬鲁晶. 基于椭球积分的集群扰动及其数值方法[J]. 理论数学, 2022, 12(4): 482-489. https://doi.org/10.12677/PM.2022.124054

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