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

2020/02/18 by Gafurjan Ibragimov, Массимилиано Феррара, Ibragimov, Gafurjan +5
Engineering · Physics and Astronomy · #49N75 #91A23 #Dynamical Systems (math.DS) #FOS: Mathematics #Guidance and Control Systems #Optimization and Control (math.OC) #Quantum chaos and dynamical systems #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.2002.07416

openalex publication_date 2020/02/18 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

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

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