SOLUTION OF SIMPLE PURSUIT-EVASION PROBLEM WHEN EVADER MOVES ON A GIVEN CURVE

Atamurat Sh. Kuchkarov ()
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Atamurat Sh. Kuchkarov: Institute of Mathematics and Information Technologies, Academy of Sciences of Republic of Uzbekistan, Durman yuli, 29, Tashkent, 100125, Uzbekistan;

International Game Theory Review (IGTR), 2010, vol. 12, issue 03, 223-238

Abstract: We investigate a simple motion pursuit-evasion differential game of one Pursuer and one Evader. Maximal speeds of the players are equal. The Evader moves along a given curve without self-intersection. There is no phase constraint for the Pursuer. Necessary and sufficient conditions to complete pursuit from both fixed initial position and all initial positions are obtained.

Keywords: Differential game; control; strategy; pursuit; veasion; 49N70; 49N90; 91A23 (search for similar items in EconPapers)
JEL-codes: B4 C0 C6 C7 D5 D7 M2 (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1142/S0219198910002635

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