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arXiv · 2512.21030

Partitioned robustness analysis of networks with uncertain links

Simone Mariano·Chung-Yao Kao·Michael Cantoni
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Abstract

Network robustness to link perturbations is studied from an input-output perspective. The main result is a set of integral quadratic constraints (IQCs) that imply robust stability of the uncertain network dynamics. The model dependency of each IQC is localized according to an overlapping edge-partition for the network graph. The choice of partition over the admissible set affords flexibility in balancing conservativeness of the distributed certificate against its verification complexity. This is illustrated by a numerical example for a network with sampled-data links.

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Simone Mariano, Chung-Yao Kao, Michael Cantoni. 2026-09-11. Partitioned robustness analysis of networks with uncertain links. https://arxiv.org/abs/2512.21030

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