Scaled Relative Graphs in Normed Spaces

arXiv:2604.02407 · math.OC, cs.SY, eess.SY · Submitted 2026-04-02 · Read on arXiv

math.OC, cs.SY, eess.SY

Submitted: 2026-04-02

Updated: 2026-09-21

Project page: https://fbullo.github.io/ctds

Terminology

• Hilbert Space — 10× in this paper · explained in 2 episodes
• Scaled Relative Graph — 10× in this paper
• Homogeneity — 4× in this paper · explained in 2 episodes
• Additivity — 1× in this paper · explained in 1 episode
• Alignment — 1× in this paper · explained in 1 episode
• Lyapunov function — 1× in this paper · explained in 2 episodes
• Markov Decision Process — 1× in this paper
• Regularization — 1× in this paper · explained in 3 episodes
• Reinforcement Learning — 1× in this paper · explained in 4 episodes
• Reward Function — 1× in this paper · explained in 2 episodes
• Sample Complexity — 1× in this paper · explained in 15 episodes

Sources

• The Scaled Relative Graph of a Linear Operator
• Computing Scaled Relative Graphs of Discrete-time LTI Systems from Data
• Soft and Hard Scaled Relative Graphs for Nonlinear Feedback Stability

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