Pursuit and Evasion Games for an Infinite System of Differential Equations
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...
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| Veröffentlicht in: | Bulletin of the Malaysian Mathematical Sciences Society 2022-01, Vol.45 (1), p.69-81 |
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| container_title | Bulletin of the Malaysian Mathematical Sciences Society |
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| creator | Ibragimov, Gafurjan Ferrara, Massimiliano Alias, Idham Arif Salimi, Mehdi Ismail, Nurzeehan |
| description | 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. |
| doi_str_mv | 10.1007/s40840-021-01176-x |
| format | Article |
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| ispartof | Bulletin of the Malaysian Mathematical Sciences Society, 2022-01, Vol.45 (1), p.69-81 |
| issn | 0126-6705 2180-4206 |
| language | eng |
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| source | Springer Nature - Complete Springer Journals |
| subjects | Applications of Mathematics Differential equations Differential games Formulas (mathematics) Geometric constraints Hilbert space Mathematical analysis Mathematics Mathematics and Statistics Pursuit-evasion games |
| title | Pursuit and Evasion Games for an Infinite System of Differential Equations |
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