具有时变权重的集体动力学控制
Control of collective dynamics with time-varying weights
摘要：
本文重点研究了一个意见动态模型，其中代理人的影响权重随时间变化。我们制定了一个控制问题的共识类型，在其中的目标是驱动所有代理的最终目标点下适当的控制约束。讨论了系统总质量有无约束时的可控性问题，并采用最速下降方法设计了控制策略。的平均场限制的意见动态和控制问题。数值模拟说明了有限维系统的控制策略。
英文摘要：
This paper focuses on a model for opinion dynamics, where the influence weights of agents evolve in time. We formulate a control problem of consensus type, in which the objective is to drive all agents to a final target point under suitable control constraints. Controllability is discussed for the corresponding problem with and without constraints on the total mass of the system, and control strategies are designed with the steepest descent approach. The mean-field limit is described both for the opinion dynamics and the control problem. Numerical simulations illustrate the control strategies for the finite-dimensional system.
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