Guaranteed pursuit time in a differential game with coordinate-wise integral constraints

On a Control Problem and a Pursuit Game of Transferring States Described by An Infinite Three-Systems of Differential Equations

“…In the context of pursuit differential game, the completion of pursuit is solely based on the motive of the first player, that is the pursuer. For the case of a pursuit game in an infinite system, the pursuer's conventional objective is to transfer the state of the system into another state of the system, which could be the origin (see, for example, [12][13][14]) or a non-zero state (see, for instance, [15][16][17][18][19]), to complete the pursuit.…”

“…Later, in the study of [16], every coordinate of control functions of players in a game described by (1.1) is subjected to integral constraints. With that, an admissible strategy was constructed for the pursuer to complete the pursuit, and a formula for guaranteed pursuit time was obtained.…”

L-Catch Guaranteed Pursuit Time

“…Finding or estimating this time requires construction of pursuer's strategy such that for any control of evader, the strategy ensures that pursuer wins the game. 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]).…”

“…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.…”

“…Later on Ibragimov et al extended the guaranteed pursuit time found in [12] to an optimal pursuit time. Waziri and Ibragimov [20] studied guaranteed pursuit time of a differential game described by an infinite system of first order differential equations…”