A Lyapunov-IQC framework represents accelerated optimizers as Lur'e interconnections, encodes smoothness/convexity via sector IQCs, and certifies uniform stability through quadratic Lyapunov functions and SDP-solvable LMIs, recovering prior NAG bounds.
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A Unified Lyapunov-IQC Framework for Uniform Stability of Smooth Quadratic First-Order Accelerated Optimizers
A Lyapunov-IQC framework represents accelerated optimizers as Lur'e interconnections, encodes smoothness/convexity via sector IQCs, and certifies uniform stability through quadratic Lyapunov functions and SDP-solvable LMIs, recovering prior NAG bounds.