Decentralized Feedback Equilibrium Seeking in Multi-Agent Cyber-Physical Systems

Many traditional Nash Equilibrium Seeking methods studied in the literature of discrete-time algorithmic game theory can have zero margins of robustness once they are implemented in decentralized networks with local sample-data structures in the nodes. Here, we apply for the first time the methodology of Pre-Jump Sampling Control to solve this lack of robustness, which can also emerge in Nash equilibrium seeking algorithms implemented in systems with hybrid (continuous and discrete) dynamics. The methodology can also incorporate plant dynamics in the loop to solve steady-state Nash equilibrium seeking problems.