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Computation of Solvability Set for Differential Games in the Plane with Simple Motion and Non-convex Terminal Set

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  • Liudmila Kamneva

    (Krasovskii Institute of Mathematics and Mechanics)

Abstract

The paper suggests an algorithm for an exact construction of solvability set in a differential game with simple motion in the plane, with a fixed terminal time and a polygonal (in the general case, non-convex) terminal set. Some examples of solvability sets are computed.

Suggested Citation

  • Liudmila Kamneva, 2019. "Computation of Solvability Set for Differential Games in the Plane with Simple Motion and Non-convex Terminal Set," Dynamic Games and Applications, Springer, vol. 9(3), pages 724-750, September.
    • Handle: RePEc:spr:dyngam:v:9:y:2019:i:3:d:10.1007_s13235-018-00292-x
    DOI: 10.1007/s13235-018-00292-x
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    References listed on IDEAS

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    1. Sergey S. Kumkov & Stéphane Ménec & Valerii S. Patsko, 2017. "Zero-Sum Pursuit-Evasion Differential Games with Many Objects: Survey of Publications," Dynamic Games and Applications, Springer, vol. 7(4), pages 609-633, December.
    2. Sergey S. Kumkov & Stéphane Ménec & Valerii S. Patsko, 2017. "Erratum to: Zero-Sum Pursuit-Evasion Differential Games with Many Objects: Survey of Publications," Dynamic Games and Applications, Springer, vol. 7(4), pages 634-634, December.
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