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arXiv · 2002.07416

Pursuit Game for an Infinite System of First-Order Differential Equations with Negative Coefficients

Gafurjan Ibragimov·Massimiliano Ferrara·Idham Arif Alias·Mehdi Salimi
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Abstract

In this paper we study a linear pursuit differential game described by an infinite system of first-order differential equations in Hilbert space. The control functions of players are subject to geometric constraints. The pursuer attempts to bring the system from a given initial state to the origin for a finite time and the evader's purpose is opposite. We obtain a guaranteed pursuit time and construct a strategy for pursuer.

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Gafurjan Ibragimov, Massimiliano Ferrara, Idham Arif Alias, Mehdi Salimi. 2020-02-18. Pursuit Game for an Infinite System of First-Order Differential Equations with Negative Coefficients. https://arxiv.org/abs/2002.07416

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