标题： 大规模对抗性蜂群作战的建模与控制 显示英文标题

标题： Modeling and Control of Large-Scale Adversarial Swarm Engagements

摘要： 我们理论和数值地研究了在明确对抗条件下大规模自主系统的最优控制问题，包括在模拟过程中代理的随机破坏。 大规模自主系统通常包含一个对抗组件，其中不同的代理或代理组彼此明确竞争。 这些系统的一个重要组成部分未包含在当前的理论或建模框架中，即代理随时间的随机破坏。 在这种情况下，建模和最优控制框架应考虑代理的损耗及其位置。 我们提出了三种数值建模方案，其中所有代理的生存概率根据模拟期间所有代理的相对位置随时间平滑且连续地减少。 特别是，我们将这些方案应用于代理防御高价值单元免受攻击群体攻击的情况。 我们表明，只要损耗和空间动力学相互耦合，这些模型可以成功用于建模这种情况。 我们的结果与整个类别的对抗自主情况相关，其中代理的位置和生存概率都非常重要。 显示英文摘要

摘要： We theoretically and numerically study the problem of optimal control of large-scale autonomous systems under explicitly adversarial conditions, including probabilistic destruction of agents during the simulation. Large-scale autonomous systems often include an adversarial component, where different agents or groups of agents explicitly compete with one another. An important component of these systems that is not included in current theory or modeling frameworks is random destruction of agents in time. In this case, the modeling and optimal control framework should consider the attrition of agents as well as their position. We propose and test three numerical modeling schemes, where survival probabilities of all agents are smoothly and continuously decreased in time, based on the relative positions of all agents during the simulation. In particular, we apply these schemes to the case of agents defending a high-value unit from an attacking swarm. We show that these models can be successfully used to model this situation, provided that attrition and spatial dynamics are coupled. Our results have relevance to an entire class of adversarial autonomy situations, where the positions of agents and their survival probabilities are both important.