DOI
10.34229/KCA2522-9664.25.5.9
UDC 519.8
S.V. Pashko
Institute of Software Systems of the National Academy of Sciences of Ukraine,
Kyiv, Ukraine, 
pashko1955@gmail.com
I.P. Sinitsyn
Institute of Software Systems of the National Academy of Sciences of Ukraine,
Kyiv, Ukraine, ips@nas.gov.ua
OPTIMAL PURSUIT STRATEGY THAT USES DIRECTION TOWARDS THE TARGET
Abstract. A pursuit strategy is constructed that uses only the direction towards the target and has properties similar to those of the parallel approach strategy. A theorem on the existence, uniqueness, and continuity of the solution of the system of differential equations describing the motion of the evader and the pursuer, as well as a theorem on the optimality of the constructed pursuit strategy, are proved. Examples of pursuit problems are considered, and numerical experiments are performed, which confirm the effectiveness of the constructed strategy.
Keywords: evader, pursuer, time of capture, process price, optimal strategy.
full text
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