Pursuit-Evasion Games with Impulsive Dynamics
Eva Crück, Marc Quincampoix, Patrick Saint-Pierre · Annals of the International Society of Dynamic Games · 2007
In this chapter, we investigate a two-player zero-sum game with separated impulsive dynamics. We study both qualitative and quantitative games. For the qualitative games, we provide a geometrical characterization of the victory domains. For the quantitative games, we characterize the value functions using the Isaacs partial differential inequalities. As a by-product, we obtain a new result of existence of a value for impulsive differential games. The main tool of our approach is the notion of impulse discriminating domain , which is introduced and discussed extensively here. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.