Evasion Differential Game of Two Pursuers and One Evader With Coordinate-Wise Integral Constraints

Abstract

An evasion differential game of two pursuers and one evader in R 2 is studied. Unlike the traditional integral constraints, in the present work, integral constraints are imposed on each component of control functions of the players. By definition, evasion is said to be possible if the state of a pursuer does not coincide with that of the evader for all t ≥ 0. Sufficient conditions of evasion are obtained and then strategies for the evader are constructed.

L-Catch Guaranteed Pursuit Time

“…There is substantial literature on this class of problem (details can be found in the following references: [9], [12] and [20]). Other results were published on differential game with integral constraint (see [2], [3], [7], [8], [9], [10], [12], [13], [14] [15], [16], [17], [18] and [20]). In some of these research works, players dynamics are described by ordinary differential equations.…”