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.
Pursuit and Evasion Games for an Infinite System of Differential Equations / Ibragimov, G., Ferrara, M., Alias, I.A., Salimi, M., Ismail, N.. - In: BULLETIN OF THE MALAYSIAN MATHEMATICAL SOCIETY. - ISSN 0126-6705. - 45:1(2022), pp. 69-81. [10.1007/s40840-021-01176-x]
Pursuit and Evasion Games for an Infinite System of Differential Equations
Ferrara M.Supervision
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2022-01-01
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 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.| File | Dimensione | Formato | |
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