A System-Level Approach to Generalized Feedback Nash Equilibrium Seeking in Partially Observed Games
Abstract
This work proposes an algorithm for seeking generalized feedback Nash equilibria (GFNEs) in noncooperative dynamic games. The focus is on cyber-physical systems with dynamics that are linear, stochastic, potentially unstable, and partially observed. We employ system-level synthesis (SLS) to reformulate the problem as the search for an equilibrium profile of closed-loop responses to noise, which can then be used to reconstruct a stabilizing output-feedback policy. Under this setup, we leverage monotone operator theory to design a GFNE-seeking algorithm capable of enforcing closed-loop stability, operational constraints, and communication constraints onto the control policies. This algorithm is amenable to numerical implementation, and we provide conditions for its convergence. We demonstrate our approach in a simulated experiment on the noncooperative stabilization of a decentralized power grid.
Fields of Study & Subjects
Extremum Seeking Control Systems
Distributed Control Multi-Agent Systems
Adaptive Dynamic Programming Control
Publication details
- Journal / source
- IEEE Transactions on Cybernetics
- Publisher
- Institute of Electrical and Electronics Engineers (IEEE)
- Volume
- PP
- Issue
- 11
- Pages
- 1–12
- Publication date
- 1 January 2026
- Language
- EN