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<p>We analyze a sufficient framework to predetermine the success or failure of stochastic asymptotic tracking in pursuer-evader dynamics. Specifically, we formulate a stochastic extension of the deterministic model studied in literature, which shares a similar interaction structure but lacks positive invariance. Within this setting, we establish conditions under which stochastic asymptotic tracking succeeds (pursuer winning) or fails (evader winning), providing both qualitative and quantitative characterizations of these regimes.</p>

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Success and Failure of the Stochastic Asymptotic Tracking in Pursuer-Evader Dynamics

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年6月3日

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  • Hyunjin Ahn,
  • Woojoo Shim

摘要

We analyze a sufficient framework to predetermine the success or failure of stochastic asymptotic tracking in pursuer-evader dynamics. Specifically, we formulate a stochastic extension of the deterministic model studied in literature, which shares a similar interaction structure but lacks positive invariance. Within this setting, we establish conditions under which stochastic asymptotic tracking succeeds (pursuer winning) or fails (evader winning), providing both qualitative and quantitative characterizations of these regimes.