Differential game with linear dynamics and multiple information delays

  • Authors:

  • Valery Y. Glizer;Vladimir Turetsky;Josef Shinar

  • Affiliations:

  • Ort Braude College, Department of Mathematics, Karmiel, Israel;Technion - IIT, Faculty of Aerospace Engineering, Haifa, Israel;Technion - IIT, Faculty of Aerospace Engineering, Haifa, Israel

  • Venue:
  • ICS'09 Proceedings of the 13th WSEAS international conference on Systems
  • Year:
  • 2009

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Abstract

A pursuit-evasion game with linear dynamics is considered. It is assumed that the pursuer receives the information on the state variables (the relative separation, the relative velocity and the evader lateral acceleration) with different time delays. By using the uncertainty set concept, this differential game is transformed to a new perfect information differential game with delayed dynamics. The solution of this game is derived in the classes of pure pursuer strategies and mixed evader strategies. Illustrative examples are presented.