Benign Geometry and Distributional Robustness of H 2 Synthesis

arXiv:2609.24421 · math.OC, cs.SY, eess.SY · Submitted 2026-09-21 · Read on arXiv

math.OC, cs.SY, eess.SY

Submitted: 2026-09-21

Updated: 2026-09-21

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

Terminology

• Robustness — 14× in this paper · explained in 5 episodes
• Optimal Transport — 3× in this paper · explained in 5 episodes
• Trace — 3× in this paper · explained in 2 episodes
• Closed-Loop System — 2× in this paper · explained in 4 episodes
• Wasserstein Distance — 2× in this paper · explained in 4 episodes
• Calibration — 1× in this paper · explained in 7 episodes
• Convergence Guarantees — 1× in this paper · explained in 3 episodes
• Distribution Shift — 1× in this paper · explained in 5 episodes
• Loss Function — 1× in this paper · explained in 2 episodes
• Objective Function — 1× in this paper · explained in 2 episodes
• Sparsity — 1× in this paper · explained in 4 episodes
• alpha — 1× in this paper · explained in 1 episode

Sources

• LQR through the Lens of First Order Methods: Discrete-time Case
• LMI Properties and Applications in Systems, Stability, and Control Theory
• Distributionally Robust LQG with Kullback-Leibler Ambiguity Sets
• Distributionally robust LMI synthesis for LTI systems
• Distributionally Robust Optimization: A Review
• Gradient Dominance in the Linear Quadratic Regulator: A Unified Analysis for Continuous-Time and Discrete-Time Systems

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