Disturbed Euler-Lagrange-based neurodynamic approach for nonsmooth noncooperative game with communication delay

Area of Science:

• Control Theory
• Game Theory
• Distributed Systems

Background:

• Nonsmooth noncooperative games present complex equilibrium-seeking challenges.
• Existing methods struggle with disturbances and communication delays in distributed settings.

Purpose of the Study:

• To develop a distributed neurodynamic approach for variational generalized Nash equilibrium (vGNE) seeking in nonsmooth games.
• To address challenges of disturbances and communication delays in distributed game systems.

Main Methods:

• A distributed vGNE-seeking neurodynamic approach (vGSNA) based on a disturbed Euler-Lagrange (EL) system.
• Introduction of a novel disturbance observer for enhanced disturbance rejection.
• Lyapunov-Krasovskii functionals for stability analysis under time-varying delays.

Main Results:

• The vGSNA demonstrates robust computation of vGNE under bounded disturbances.
• Convergence of players' actions to the vGNE is proven, even with general bounded time-varying communication delays.
• The approach's efficiency is validated through an electricity market game simulation.

Conclusions:

• The proposed vGSNA effectively solves the distributed vGNE seeking problem for nonsmooth games.
• The disturbance observer and stability analysis ensure reliable performance in dynamic, delayed environments.
• The method is applicable to real-world scenarios like electricity market modeling.