Input-to-State Stability Framework for Fully Distributed Primal-Dual Dynamics for Quadratic GNEPs Without Multiplier Consensus

arXiv:2609.06983 · math.OC, cs.AI, cs.GT, cs.LG, cs.MA · Submitted 2026-09-07 · Read on arXiv

math.OC, cs.AI, cs.GT, cs.LG, cs.MA

Submitted: 2026-09-07

Updated: 2026-09-21

Comments: 6 pages, 1 figure. Accepted to CDC 2026

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Generalized Nash Equilibrium — 13× in this paper
• Nash Equilibrium — 13× in this paper · explained in 2 episodes
• Generalized Nash Equilibrium Problem — 6× in this paper
• Projected Dynamical System — 4× in this paper
• Conference on Decision and Control — 3× in this paper
• Lyapunov function — 2× in this paper · explained in 2 episodes
• Linear Independence Constraint Qualification — 1× in this paper
• Robustness — 1× in this paper · explained in 5 episodes
• Trace — 1× in this paper · explained in 2 episodes

Related papers

• Lions and Muons: Optimization via Stochastic Frank-Wolfe under Heavy-Tailed Noise
• Adam-HNAG: A Convergent Reformulation of Adam with Accelerated Rate
• Incremental Learning in Mirror Flows
• Online Control via Counterfactual Tracking
• Asynchronous Replanning in Two Population Linear Quadratic Mean Field Games: Information Requirements and Stability
• Petrov-Galerkin operator inference with application to stability-encouraging identification