Singular analysis of a multi-agent, turn-constrained, defensive game
Singular analysis of a multi-agent, turn-constrained, defensive game
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多智能体、回合限制、防御游戏的奇异分析
DOI：
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发表时间：
2016
期刊：
影响因子：
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通讯作者：
Eloy García
中科院分区：
文献类型：
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作者：
Zachariah E. Fuchs;D. Casbeer;Eloy García
我们研究了一个两队，差分游戏，它模拟了一个积极的目标防御方案。一个团队代表一个攻击力量，由一个攻击者组成。对方队伍代表一支由一个高价值的目标和一个移动的防御者组成的防御力量。攻击者在被防御者拦截之前尽可能接近目标。相反，防守方试图机动，使防守方在尽可能远离目标的地方拦截攻击方。攻击者和目标以简单的动作移动，而防御者有一个限制的转弯速度。我们讨论了两种类型的奇异表面，出现在这个游戏的平衡解，即通用表面和分散表面。几个数值例子来说明与这些表面相互作用的平衡解的特性。
We examine a two-team, differential game, which models an active target defense scenario. One team represents an attacking force and consists of a single Attacker. The opposing team represents a defensive force consisting of a high-value Target and a mobile Defender. The Attacker strives to get as close to the Target as possible before it is intercepted by the Defender. Conversely, the defensive team attempts to maneuver so that the Defender intercepts the Attacker as far from the Target as possible. The Attacker and Target move with simple motion, while the Defender has a constrained turn rate. We discuss two types of singular surfaces that appear within the equilibrium solution of this game, namely the universal surface and the dispersal surface. Several numerical examples are presented to illustrate the characteristics of the equilibrium solutions that interact with these surfaces.