Differential Game Model with Two Pursuers and One Evader

Authors

  • Sergey A. Ganebny Institute of Mathematics and Mechanics Ural Branch Russian Academy of Sciences
  • Sergey S. Kumkov Institute of Mathematics and Mechanics Ural Branch Russian Academy of Sciences
  • Stéphane Le Ménec EADS/MBDA France,
  • Valerii S. Patsko Institute of Mathematics and Mechanics Ural Branch Russian Academy of Sciences

Abstract

n antagonistic differential game is considered where motion occurs in a straight line. Deviations between the first and second pursuers and the evader are computed at the instants T1 and T2, respectively. The pursuers act in coordination. Their aim is to minimize the resultant miss, which is equal to the minimum of the deviations happened at the instants T1 and T2. Numerical study of value function level sets (Lebesgue sets) for qualitatively different cases is given.

Keywords:

pursuit-evasion differential game, linear dynamics, value function

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References

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Published

2023-01-25

How to Cite

Ganebny, S. A., Kumkov, S. S., Le Ménec S. ., & Patsko, V. S. (2023). Differential Game Model with Two Pursuers and One Evader. Contributions to Game Theory and Management, 5, 83–96. Retrieved from https://gametheory.spbu.ru/article/view/14306

Issue

Vol. 5 (2012)

Section

Articles

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Articles of "Contributions to Game Theory and Management" are open access distributed under the terms of the License Agreement with Saint Petersburg State University, which permits to the authors unrestricted distribution and self-archiving free of charge.