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G. Ibragimov (2002)
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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 state of system from a given initial state to the origin for a finite time and the evader’s purpose is opposite. We obtain a formula for the guaranteed pursuit time and construct a strategy for pursuer. Also, we obtain a formula for the guaranteed evasion time.
Bulletin of the Malaysian Mathematical Sciences Society – Springer Journals
Published: Jan 1, 2022
Keywords: Differential game; Pursuit; Control; Strategy; Infinite system of differential equations; Primary: 91A23; Secondary: 49N75
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