Mathematics in Computer Science

, Volume 8, Issue 3–4, pp 443–454 | Cite as

Level Sets of the Value Function in Differential Games with Two Pursuers and One Evader. Interval Analysis Interpretation

  • Sergey S. Kumkov
  • Stéphane Le Ménec
  • Valerii S. Patsko
Article

Abstract

An algorithm for numerical constructing level sets of the value function is shortly described for one class of linear differential games with fixed termination instant. Some model interception problems with one target and two interceptors are considered; all objects are weak maneuverable.

Keywords

Group differential pursuit-evasion games Linear dynamics Value function Level sets Numerical construction 

Mathematics Subject Classification

Primary 49N70 Secondary 49N90 

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Copyright information

© Springer Basel 2014

Authors and Affiliations

  • Sergey S. Kumkov
    • 1
  • Stéphane Le Ménec
    • 2
  • Valerii S. Patsko
    • 1
  1. 1.Institute of Mathematics and Mechanics, Ural Branch of Russian Academy of SciencesUral Federal UniversityEkaterinburgRussia
  2. 2.EADS/MBDAParisFrance

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