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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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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.

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Acknowledgements

This work was supported by the Russian Foundation for Basic Research under Project No. 18-01-00410.

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  1. Krasovskii Institute of Mathematics and Mechanics, 16 S.Kovalevskaya str., Yekaterinburg, Russia, 620108

    Liudmila Kamneva

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  1. Liudmila Kamneva
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Correspondence to Liudmila Kamneva.

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Kamneva, L. Computation of Solvability Set for Differential Games in the Plane with Simple Motion and Non-convex Terminal Set. Dyn Games Appl 9, 724–750 (2019). https://doi.org/10.1007/s13235-018-00292-x

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