Exponentially Convergent and Prescribed-Time Fully Distributed Nash Equilibrium Seeking Strategy Design
Guobiao Jia, Maojiao Ye, Lei Ding · 2022 IEEE 61st Conference on Decision and Control (CDC) · 2022
This paper designs a new fully distributed Nash equilibrium strategy, in which no centralized gain is involved. Different from existing fully distributed strategies that only ensure asymptotic convergence to the Nash equilibrium, it is shown that the newly developed method ensures exponential convergence to the Nash equilibrium. Moreover, it is found that the proposed method can be easily synthesized with prescribed-time controllers. Correspondingly, a prescribed-time strategy is provided based on the proposed exponentially convergent fully distributed scheme. All theoretical results are analytically investigated through Lyapunov stability analysis. A numerical example is provided for verification of the effectiveness of the proposed methods.