Abstract
Two-player zero-sum differential games with simple motion in the plane are considered. An explicit formula describing the solvability set is well-known for a convex terminal set. The paper suggests a way of exact construction of solvability set in the case of non-convex polygonal terminal set and polygonal constraints of the players’ controls. Some illustrative examples are computed.
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Acknowledgement
The work has been supported by the Russian Foundation for Basic Researches under project no. 18-01-00410.
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Kamneva, L., Patsko, V. (2017). On Exact Construction of Solvability Set for Differential Games with Simple Motion and Non-convex Terminal Set. In: Apaloo, J., Viscolani, B. (eds) Advances in Dynamic and Mean Field Games. ISDG 2016. Annals of the International Society of Dynamic Games, vol 15. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-70619-1_11
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DOI: https://doi.org/10.1007/978-3-319-70619-1_11
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