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    Area of Science:

    • Robotics and Control Systems
    • Artificial Intelligence
    • Game Theory

    Background:

    • Pursuit-evasion games are critical for autonomous systems.
    • Adapting to unknown, cluttered environments poses significant challenges.
    • Ensuring safety during dynamic interactions is paramount.

    Purpose of the Study:

    • To develop a safe pursuit-evasion game enabling finite-time capture.
    • To achieve optimal performance in unknown, cluttered environments.
    • To enable adaptive pursuit-evasion policies using reinforcement learning.

    Main Methods:

    • Formulation as a zero-sum differential game.
    • A critic-only reinforcement learning (RL) algorithm for policy learning.
    • Integration of barrier functions for safety in cluttered environments.
    • Gaussian processes (GPs) for adaptive environment learning.

    Main Results:

    • Finite-time capture of the evader is achieved.
    • Safe navigation and adaptation to unknown environments demonstrated.
    • Optimal pursuit-evasion policies were learned online.
    • Simulation results validate the proposed approach's efficacy.

    Conclusions:

    • The proposed RL-based safe pursuit-evasion game effectively achieves finite-time capture.
    • The integration of barrier functions and GPs ensures safety and adaptability.
    • This approach offers a robust solution for autonomous systems operating in complex environments.