We studied a simple motion differential game of two pursuers and one evader in R-2. The control functions of players are subjected to the Gronwall-type constraints. If the state of the evader coincides with the state of a pursuer, then the game is considered complete. The pursuers attempt to complete the game as earlier as possible. The evader attempts to avoid being captured or delays the capture time. We found an equation for the optimal pursuit time and construct the optimal strategies of players.
Optimal Pursuit Game of Two Pursuers and One Evader with the Grönwall-Type Constraints on Controls / Ibragimov, G.; Yusupov, I.; Ferrara, M.. - In: MATHEMATICS. - ISSN 2227-7390. - 11:2(2023), p. 374. [10.3390/math11020374]
Optimal Pursuit Game of Two Pursuers and One Evader with the Grönwall-Type Constraints on Controls
Ferrara M.
Supervision
2023-01-01
Abstract
We studied a simple motion differential game of two pursuers and one evader in R-2. The control functions of players are subjected to the Gronwall-type constraints. If the state of the evader coincides with the state of a pursuer, then the game is considered complete. The pursuers attempt to complete the game as earlier as possible. The evader attempts to avoid being captured or delays the capture time. We found an equation for the optimal pursuit time and construct the optimal strategies of players.| File | Dimensione | Formato | |
|---|---|---|---|
|
Ferrara et al Mathematics 2023.pdf
accesso aperto
Tipologia:
Versione Editoriale (PDF)
Licenza:
Creative commons
Dimensione
296.02 kB
Formato
Adobe PDF
|
296.02 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
