On Time-Optimal Problems with Lifeline

Nataly V. Munts () and Sergey S. Kumkov ()
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Nataly V. Munts: Krasovskii Institute of Mathematics and Mechanics, UrB RAS
Sergey S. Kumkov: Krasovskii Institute of Mathematics and Mechanics, UrB RAS

Dynamic Games and Applications, 2019, vol. 9, issue 3, No 10, 770 pages

Abstract: Abstract This paper discusses time-optimal games with lifeline and corresponding boundary value problems for Hamilton–Jacobi equation as well. Existence of the value function for the time-optimal games with lifeline is proved. Existence of a minimax solution and its coincidence with the value function are shown.

Keywords: Time-optimal differential games; Games with lifeline; Value function; Hamilton–Jacobi equations; Minimax solutions (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1007/s13235-018-00295-8

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