Pursuit and Evasion Linear Differential Game Problems with Generalized Integral Constraints

Bashir Mai Umar; Jewaidu Rilwan; Maggie Aphane; Kanikar Muangchoo

doi:10.3390/sym16050513

Pursuit and Evasion Linear Differential Game Problems with Generalized Integral Constraints

Bashir Mai Umar, Jewaidu Rilwan, Maggie Aphane, Kanikar Muangchoo^*

^*Corresponding author for this work

Mathematics and Applied Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we study pursuit and evasion differential game problems of one pursuer/one evader and many pursuers/one evader, respectively, in the space (Formula presented.). In both problems, we obtain sufficient conditions that guarantee the completion of a pursuit and an evasion. We construct the players’ optimal strategies in both problems, and we estimate the possible distance that an evader can preserve from pursuers. Lastly, we illustrate our results via some numerical examples.

Original language	English
Article number	513
Journal	Symmetry
Volume	16
Issue number	5
DOIs	https://doi.org/10.3390/sym16050513
Publication status	Published - May 2024

Keywords

evasion
integral constraint
players’ control functions
pursuit

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10.3390/sym16050513

Cite this

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title = "Pursuit and Evasion Linear Differential Game Problems with Generalized Integral Constraints",

abstract = "In this paper, we study pursuit and evasion differential game problems of one pursuer/one evader and many pursuers/one evader, respectively, in the space (Formula presented.). In both problems, we obtain sufficient conditions that guarantee the completion of a pursuit and an evasion. We construct the players{\textquoteright} optimal strategies in both problems, and we estimate the possible distance that an evader can preserve from pursuers. Lastly, we illustrate our results via some numerical examples.",

keywords = "evasion, integral constraint, players{\textquoteright} control functions, pursuit",

author = "Umar, {Bashir Mai} and Jewaidu Rilwan and Maggie Aphane and Kanikar Muangchoo",

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AU - Aphane, Maggie

AU - Muangchoo, Kanikar

PY - 2024/5

Y1 - 2024/5

N2 - In this paper, we study pursuit and evasion differential game problems of one pursuer/one evader and many pursuers/one evader, respectively, in the space (Formula presented.). In both problems, we obtain sufficient conditions that guarantee the completion of a pursuit and an evasion. We construct the players’ optimal strategies in both problems, and we estimate the possible distance that an evader can preserve from pursuers. Lastly, we illustrate our results via some numerical examples.

AB - In this paper, we study pursuit and evasion differential game problems of one pursuer/one evader and many pursuers/one evader, respectively, in the space (Formula presented.). In both problems, we obtain sufficient conditions that guarantee the completion of a pursuit and an evasion. We construct the players’ optimal strategies in both problems, and we estimate the possible distance that an evader can preserve from pursuers. Lastly, we illustrate our results via some numerical examples.

KW - evasion

KW - integral constraint

KW - players’ control functions

KW - pursuit

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U2 - 10.3390/sym16050513

DO - 10.3390/sym16050513

M3 - Article

AN - SCOPUS:85194255544

SN - 2073-8994

VL - 16

JO - Symmetry

JF - Symmetry

IS - 5

M1 - 513

ER -

Pursuit and Evasion Linear Differential Game Problems with Generalized Integral Constraints

Abstract

Keywords

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