Pursuit game problem of an infinite system of differential equations with geometric and integral constraints

Waziri, Usman; Ibragimov, Gafurjan; Alias, Idham Arif; İbrahim, Zarina Bibi

doi:10.1088/1742-6596/1132/1/012054

Cited by 1 publication

(2 citation statements)

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“…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.…”

Section: Introductionmentioning

confidence: 99%

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

Madhavan,

Alias,

Ibragimov

2024

JODEA

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In this paper, we devote to study a pursuit game described by an infinite three-systems of differential equations in Hilbert space. The game involves transferring of the states as the pursuit is said to be completed if the state ζ(•) of the system is shifted to another non zero state ζ 1 of the system at some finite time. The control functions of the players are constrained by geometric constraints. We first find the control function that transfers the control system's state to the state ζ 1 at some time. We then extend to solve the pursuit problem where an admissible pursuer's strategy is constructed and a guaranteed pursuit time is determined.

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Section: Introductionmentioning

confidence: 99%

“…The finding of solution for pursuit game of shifting the state of the system into another non zero state requires both initial state and another non zero state to be present in the construction of sufficient conditions. For example, the work of [15] examined a pursuit game with dynamic of motions of the players as follows:…”

Section: Introductionmentioning

confidence: 99%