On a linear differential game in the Hilbert space ℓ²

2023/02/03 by Ruziboev, Marks, Mamayusupov, Khudoyor, Ibragimov, Gafurjan +1
#FOS: Mathematics #Functional Analysis (math.FA) #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.2302.01632

Abstract

Two-player pursuit-evasion differential game and time optimal zero control problem in ℓ² are considered. Optimal control for the corresponding zero control problem is found. A strategy for the pursuer that guarantees the solution for the pursuit problem is constructed.

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