{"ID":5937652,"CreatedAt":"2026-07-07T03:14:33.014478982Z","UpdatedAt":"2026-07-08T09:59:57.507513563Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2607.04213","arxiv_id":"2607.04213","title":"Robust Receding Horizon Games with Additive Uncertainty","abstract":"We study a receding horizon game in which multiple agents drive linear systems subject to additive disturbances, private state and input constraints, and shared coupling constraints. We propose a robust game-theoretic control framework that combines tube-based constraint tightening with a finite-horizon generalized Nash equilibrium problem (GNEP), equipped with a discrete algebraic Riccati equation (DARE)-based terminal cost and a decoupled positively invariant terminal set. The framework guarantees recursive feasibility for every bounded disturbance realization. Exploiting the potential-game structure induced by tracking costs, we further establish asymptotic convergence of each agent's nominal state to a steady-state variational generalized Nash equilibrium (vGNE), and show that each agent's actual state converges to a neighborhood of the vGNE determined by the minimal robust positively invariant set.","short_abstract":"We study a receding horizon game in which multiple agents drive linear systems subject to additive disturbances, private state and input constraints, and shared coupling constraints. We propose a robust game-theoretic control framework that combines tube-based constraint tightening with a finite-horizon generalized Nas...","url_abs":"https://arxiv.org/abs/2607.04213","url_pdf":"https://arxiv.org/pdf/2607.04213v1","authors":"[\"Dinesh Patra\",\"Tanish Jain\",\"Ashish R. Hota\"]","published":"2026-07-05T10:05:23Z","proceeding":"math.OC","tasks":"[\"math.OC\",\"eess.SY\"]","methods":"[]","has_code":false}