A Differential Game Problem of Many Pursuers and One Evader in the Hilbert Space l2

被引：0

作者：

Rilwan, Jewaidu ^{[1
,5
]}

Kumam, Poom ^{[2
]}

Ibragimov, Gafurjan ^{[3
,4
]}

Badakaya, Abbas Ja'afaru ^{[5
]}

Ahmed, Idris ^{[1
]}

机构：

[1] King Mongkuts Univ Technol Thonburi KMUTT, Fac Sci, Dept Math, KMUTTFixed Point Res Lab, Room SCL 802 Fixed Point Lab,Sci Lab Bldg, Bangkok 10140, Thailand

[2] King Mongkuts Univ Technol Thonburi KMUTT, Fac Sci, Ctr Excellence Theoret & Computat Sci TaCS CoE, Sci Lab Bldg,126 Pracha Uthit Rd, Bangkok 10140, Thailand

[3] Univ Putra Malaysia, Fac Sci FS, Inst Math Res, Serdang 43400, Selangor, Malaysia

[4] Univ Putra Malaysia, Fac Sci FS, Dept Math, Serdang 43400, Selangor, Malaysia

[5] Bayero Univ, Dept Math Sci, Kano, Nigeria

来源：

DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS | 2023年 / 31卷 / 04期

关键词：

Differential game; Integral constraint; Hilbert space; Avoidance of contact; Pursuit; EVASION; SYSTEMS;

D O I：

10.1007/s12591-020-00545-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate a differential game problem of multiple number of pursuers and a single evader with motions governed by a certain system of first-order differential equations. The problem is formulated in the Hilbert space l(2),with control functions of players subject to integral constraints. Avoidance of contact is guaranteed if the geometric position of the evader and that of any of the pursuers fails to coincide for all timet. On the other hand, pursuit is said to be completed if the geometric position of at least one of the pursuers coincides with that of the evader. We obtain sufficient conditions that guarantees avoidance of contact and construct evader's strategy. Moreover, we prove completion of pursuit subject to some sufficient conditions. Finally, we demonstrate our results with some illustrative examples.

引用

页码：925 / 943

页数：19

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