Abstract
We study a differential game of one evader and n pursuers on Rd,
where the control sets are given by the unit ball for the pursuers and the ball of
radius σ, where σ > 1, for the evader. Evasion is said to be possible if the state
of the evader doesn’t coincide with that of any pursuer for all t. We propose
a new evasion strategy which guarantees evasion from any initial positions of
the players. We use the strategy to show that the number of approach times
is bounded above by n(n + 1)/2.
where the control sets are given by the unit ball for the pursuers and the ball of
radius σ, where σ > 1, for the evader. Evasion is said to be possible if the state
of the evader doesn’t coincide with that of any pursuer for all t. We propose
a new evasion strategy which guarantees evasion from any initial positions of
the players. We use the strategy to show that the number of approach times
is bounded above by n(n + 1)/2.
| Original language | English |
|---|---|
| Number of pages | 17 |
| Journal | Discrete and Continuous Dynamical Systems - Series B |
| DOIs | |
| Publication status | Published - May 2024 |
Keywords
- Differential game
- Control
- Evasion
- Evasion strategy
- Faster evader
- Many pursuers
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Ibragimov, G., Tursunaliev, T., & Luckraz, S. (2024). Evasion in a Linear Differential Game with Many Pursuers. Discrete and Continuous Dynamical Systems - Series B. https://doi.org/10.3934/dcdsb.2024072