论文标题
在3-D中保护飞机的游戏的最佳策略
Optimal Strategies for the Game of Protecting a Plane in 3-D
论文作者
论文摘要
考虑了理性和自主代理之间的冲突。该论文介绍了在3D空间中保护目标的差异游戏。这个问题强调了高度动态的场景，对手行为的不确定性与对国家反馈策略的在线和强大的计算之间的密切相关性，这些策略可以保证每个玩家的绩效水平。这项工作通过提供玩家的州反馈鞍点策略来大大扩展围绕此问题的结果。此外，还获得了多代理差异游戏的连续微分价值函数，并被证明是汉密尔顿 - 雅各布-ISAAC方程的解决方案。最后，明确获得了屏障表面，并说明了示例，强调了本文获得的鞍点策略提供的鲁棒性和保证。
A conflict between rational and autonomous agents is considered. The paper addresses a differential game of protecting a target in the 3-D space. This problem highlights the strong correlation between the highly dynamic scenario, the uncertainty on the behavior of the adversary, and the online and robust computation of state-feedback strategies which guarantee the required level of performance of each player. This work significantly expands previous results around this problem by providing the players' state-feedback saddle-point strategies. Additionally, the continuously differentiable Value function of the multi-agent differential game is obtained and it is shown to be the solution of the Hamilton-Jacobi-Isaacs equation. Finally, the Barrier surface is explicitly obtained and illustrative examples highlight the robustness properties and the guarantees provided by the saddle-point strategies obtained in this paper.
