Abstract:A coplanar aerial dogfight is analyzed by assuming constant, not necessarily identical, speeds and individual maximum turning rates and lethal ranges. A combatant (A) is assumed to be victorious when his opponent (B) has been maneuvered into a relative position within A's lethal range and in the direction of A's velocity.Three variables are required to define the instantaneous "state" of the game, namely the relative position (2) and the angle (1) between their velocities. A computer program has been construct… Show more
“…For the first time, two-target differential games were introduced in [5]. The applied interpretation of such games can be a dogfight between two aircrafts or ships [10,24,28].…”
Section: Homicidal Chauffeur Game As a Test Examplementioning
“…For the first time, two-target differential games were introduced in [5]. The applied interpretation of such games can be a dogfight between two aircrafts or ships [10,24,28].…”
Section: Homicidal Chauffeur Game As a Test Examplementioning
Abstract. A surveillance-evasion differential game of degree with a detection zone in the shape of a two-dimensional cone is posed. The nature of the optimal strategies and the singular phenomena of the value function are described and correlated to subsets of the space of all possible parameter combinations, showing the relation of the singular phenomena in differential game theory and control theory.
“…This is called the role determination [81] problem which is a preassigned roles for the two-players (pursuer versus evader) and its limitations has been discussed in Ref. [118].…”
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