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

Bara’atu Bashir Borodo (), Ma’aruf Shehu Minjibir () and Abbas Ja’afaru Badakaya ()
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Bara’atu Bashir Borodo: Sa’adatu Rimi College of Education
Ma’aruf Shehu Minjibir: Bayero University
Abbas Ja’afaru Badakaya: Bayero University

Journal of Optimization Theory and Applications, 2025, vol. 207, issue 2, No 12, 15 pages

Abstract: 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 .

Keywords: Pursuit; Strategies; Component-wise; Integral constraints; 91A23; 49N70; 49N75 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s10957-025-02785-3

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