Receding Horizon Control and Dissipativity - Optimal Control, Games and Uncertainty

arXiv:2609.36858 · eess.SY, cs.SY, math.OC · Submitted 2026-09-29 · Read on arXiv

eess.SY, cs.SY, math.OC

Submitted: 2026-09-29

Updated: 2026-09-29

Code: https://github.com/bemporad/nashopt

Terminology

• Receding Horizon Games — 12× in this paper
• Nash Equilibrium — 9× in this paper · explained in 2 episodes
• Lyapunov function — 7× in this paper · explained in 2 episodes
• Closed-Loop System — 5× in this paper · explained in 4 episodes
• Generalization — 3× in this paper · explained in 13 episodes
• Objective Function — 3× in this paper · explained in 2 episodes
• European Control Conference — 2× in this paper
• IEEE Conference on Decision and Control — 2× in this paper
• Model Predictive Control (MPC) — 2× in this paper · explained in 5 episodes
• Reinforcement Learning — 2× in this paper · explained in 4 episodes
• Unified Framework — 2× in this paper · explained in 5 episodes
• Abstraction — 1× in this paper · explained in 1 episode
• Accuracy — 1× in this paper · explained in 1 episode
• Agent Interactions — 1× in this paper · explained in 1 episode
• Closed-Loop Control — 1× in this paper · explained in 3 episodes
• Computational Tractability — 1× in this paper · explained in 2 episodes
• Core — 1× in this paper · explained in 2 episodes
• Curse of Dimensionality — 1× in this paper · explained in 6 episodes
• Decoupling — 1× in this paper · explained in 2 episodes
• Hilbert Space — 1× in this paper · explained in 2 episodes
• Markov Decision Process (MDP) — 1× in this paper · explained in 11 episodes
• Multi-Agent System — 1× in this paper · explained in 6 episodes
• Robustness — 1× in this paper · explained in 5 episodes
• Sparsity — 1× in this paper · explained in 4 episodes
• Stochastic Dynamics — 1× in this paper · explained in 2 episodes
• Theoretical Guarantees — 1× in this paper · explained in 2 episodes
• VI in — 1× in this paper

Sources

• Towards Closed-loop Stability of Nonlinear Receding Horizon Games
• System-Theoretic Analysis of Dynamic Generalized Nash Equilibria -- Turnpikes and Dissipativity
• Rethinking Strict Dissipativity for Economic MPC
• Closed-loop analysis of linear stochastic MPC with risk-averse constraints
• Generalized Nash Equilibrium Solutions in Dynamic Games With Shared Constraints
• A Douglas-Rachford Splitting Method for Solving Monotone Variational Inequalities in Linear-quadratic Dynamic Games
• Fast Newton methods for linear-quadratic dynamic games with application to autonomous vehicle platooning and intersection crossing
• CCOpt: an Open-Source Solver for Large-Scale Mathematical Programs with Complementarity Constraints

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