论文标题
与随时间变化的重量控制集体动力
Control of collective dynamics with time-varying weights
论文作者
论文摘要
本文着重于观点动态的模型，其中代理的影响随着时间的推移而发展。我们制定了共识类型的控制问题，其中目标是在适当的控制约束下将所有试剂推向最终目标点。讨论了有关系统总质量的相应问题，讨论了相应的问题，并且以最陡峭的下降方法设计了控制策略。对于意见动力和控制问题，均描述了平均场限制。数值模拟说明了有限维系统的控制策略。
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.
