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Scalable Incremental Robustness Analysis of Neural Network Feedback Systems

arXiv · AI, language, vision and robotics · article · Sep 18, 2026 · UTC

Semidefinite programming (SDP) certificates for feedback systems containing deep neural networks (NNs) typically scale with the total number of neurons, whereas small-gain tests are scalable but can be highly conservative. This paper develops a unified and scalable framework for incremental robust stability and performance analysis of feedback interconnections involving high-dimensional NNs and unmodeled dynamics. By combining a structured decomposition of the full-order SDP condition with scalable Lipschitz constant estimation algorithms, we derive reduced verification conditions that certify

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First collected: 2026-09-23T12:01:45.602Z. This is not the publication date.