A Novel Second-Order Neurodynamic System to Fixed-Time Nash Equilibrium Seeking

Song Yao, Xingxing Ju, Chaoli Yao

TL;DR: A novel second-order NE seeking neurodynamic system is proposed to accelerate the convergence.

Abstract:

This paper investigates fixed-time (FT) Nash equilibrium (NE) seeking problem for non-cooperative games. A novel second-order NE seeking neurodynamic system is proposed to accelerate the convergence. It is proved that the proposed neurodynamic system’s trajectory converges to NE within fixed-time under a function called potential function and strongly monotone potential function respectively. It is shown that the upper bounds are independent of the initial conditions. The robustness of the proposed NE seeking neurodynamic system under bounded perturbations is further studied. The effectiveness and practicability of the proposed NE seeking system are illustrated via a simulation example and an analog circuit implementation on Multisim 14.3.

Submission Number: 100