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Pursuit Differential Game Problem with Component-wise Constraints in $$l_\infty $$ l ∞

Author

Listed:
  • Bara’atu Bashir Borodo

    (Sa’adatu Rimi College of Education
    Bayero University)

  • Ma’aruf Shehu Minjibir

    (Bayero University)

  • Abbas Ja’afaru Badakaya

    (Bayero University)

Abstract

A pursuit differential game problem with players’ motions and controls in the sequence space $$l_\infty $$ l ∞ is considered in this paper. Controls of finite number of pursuers and one evader are subject to component-wise integral constraints. It has been established that there exist admissible strategies of pursuers such that $$x_{{\hat{i}}}(\theta ) = y(\theta )$$ x i ^ ( θ ) = y ( θ ) for some $$ {\hat{i}} \in \{1, 2, \cdots , m\}$$ i ^ ∈ { 1 , 2 , ⋯ , m } and $$\theta > 0$$ θ > 0 .

Suggested Citation

  • Bara’atu Bashir Borodo & Ma’aruf Shehu Minjibir & Abbas Ja’afaru Badakaya, 2025. "Pursuit Differential Game Problem with Component-wise Constraints in $$l_\infty $$ l ∞," Journal of Optimization Theory and Applications, Springer, vol. 207(2), pages 1-15, November.
    • Handle: RePEc:spr:joptap:v:207:y:2025:i:2:d:10.1007_s10957-025-02785-3
    DOI: 10.1007/s10957-025-02785-3
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    References listed on IDEAS

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    1. Gafurjan Ibragimov & Yusra Salleh & Idham Arif Alias & Bruno Antonio Pansera & Massimiliano Ferrara, 2023. "Evasion from Several Pursuers in the Game with Coordinate-wise Integral Constraints," Dynamic Games and Applications, Springer, vol. 13(3), pages 819-842, September.
    2. Gafurjan Ibragimov & Yusra Salleh, 2012. "Simple Motion Evasion Differential Game of Many Pursuers and One Evader with Integral Constraints on Control Functions of Players," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-10, October.
    3. Gafurjan Ibragimov & Yusra Salleh, 2012. "Simple Motion Evasion Differential Game of Many Pursuers and One Evader with Integral Constraints on Control Functions of Players," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    4. Gafurjan Ibragimov & Nu'man Satimov, 2012. "A Multiplayer Pursuit Differential Game on a Closed Convex Set with Integral Constraints," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-12, November.
    5. Gafurjan Ibragimov & Nu′man Satimov, 2012. "A Multiplayer Pursuit Differential Game on a Closed Convex Set with Integral Constraints," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    Full references (including those not matched with items on IDEAS)

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