Prescribed-Time Nash Equilibrium Seeking for Pursuit-Evasion Game

Lei Xue,Jianfeng Ye,Yongbao Wu,Jian Liu,D. C. Wunsch

IEEE-CAA JOURNAL OF AUTOMATICA SINICA（2024）

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摘要

Dear Editor, This letter is concerned with prescribed-time Nash equilibrium (PTNE) seeking problem in a pursuit-evasion game (PEG) involving agents with second-order dynamics. In order to achieve the priorgiven and user-defined convergence time for the PEG, a PTNE seeking algorithm has been developed to facilitate collaboration among multiple pursuers for capturing the evader without the need for any global information. Then, it is theoretically proved that the prescribed-time convergence of the designed algorithm for achieving Nash equilibrium of PEG. Eventually, the effectiveness of the PTNE method was validated by numerical simulation results.

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关键词

Nash Equilibrium,Pursuit-evasion Game,Nash Equilibrium Seeking,Electric Power,Finite Time,Dear Editor,Numerical Simulation Results,Convergence Time,Formation Control,Group Of Agents,Smart Grid,Asymptotic Expansion,Distributed Algorithm,Payoff Function,Second-order Differential Equation,Non-cooperative Game,Exponential Convergence,Finite-time Convergence,Second-order Dynamics,Control Input,Communication Architecture

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