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Paper · arXiv

Generalization as a robust performance property of learning-enabled dynamical systems

By focusing on algorithmic stability as a means of establishing out-of-sample bounds, we provide a system-theoretic interpretation of generalization in learning-enabled dynamical systems arising in data-driven optimization and feedback control approximation. Given two neighboring datasets, we specifically model sample replacement as an exogenous disturbance acting on a sensitivity system, while the incremental behavior of the data-dependent operator is encoded through an integral quadratic constraint. By relying on dissipativity arguments, we establish a matrix inequality-based certificate and a uniform stability bound that separates the one-sample sensitivity of the learned operator, and...

AuthorsFilippo Fabiani
Primary categoryeess.SY
Published31 August 2026
Last updated at source31 August 2026
eess.SYcs.LGmath.OC
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