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

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.
2023
differential game
Gronwall constraints
pursuers
evader
optimal pursuit time
optimal strategy
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12318/139147
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 0
  • ???jsp.display-item.citation.isi??? 0
social impact