Pursuit-Evasion Games with Impulsive Dynamics

  • Eva Crück
  • Marc Quincampoix
  • Patrick Saint-Pierre
Part of the Annals of the International Society of Dynamic Games book series (AISDG, volume 9)


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.


Differential Game SIAM Journal Viability Kernel Impulse System Impulsive Dynamics 
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.


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Copyright information

© Birkhäuser Boston 2007

Authors and Affiliations

  • Eva Crück
    • 1
  • Marc Quincampoix
    • 1
  • Patrick Saint-Pierre
    • 2
  1. 1.Laboratoire de Mathématiques Unité CNRS UMR6205Université de Bretagne OccidentaleBrestFrance
  2. 2.Centre de Recherche Viabilité, JeuxContrôleUniversité Paris IX-DauphineParis Cedex 16France

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