<p>This paper addresses the evasion differential game problem of one faster evader with bounded maneuverability versus multiple pursuers whose maneuverability are not bounded. If the state of the evader never coincides with the state of any pursuer, we say that evasion is possible. A sufficient condition of evasion is obtained based on the control sets of the players. In this article, an evasion strategy is proposed to enable the evader to avoid multiple pursuers for any initial states of players, even though the evader is initially encircled by the pursuers.</p>

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Evasion Differential Game of One Faster Evader with Bounded Maneuverability from Multiple Pursuers

  • Abdulla Azamov,
  • Gafurjan Ibragimov,
  • Akmal Kurbanov

摘要

This paper addresses the evasion differential game problem of one faster evader with bounded maneuverability versus multiple pursuers whose maneuverability are not bounded. If the state of the evader never coincides with the state of any pursuer, we say that evasion is possible. A sufficient condition of evasion is obtained based on the control sets of the players. In this article, an evasion strategy is proposed to enable the evader to avoid multiple pursuers for any initial states of players, even though the evader is initially encircled by the pursuers.