# Dissipativity, Convexity and Tight O'Shea-Zames-Falb Multipliers for Safety Guarantees

arXiv: https://arxiv.org/abs/2207.01363 · HTML: https://mlsanity.com/paper/2207.01363/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 4 Jul 2022.

## Built on by (most cited first, 1 of 1)

- [Local Lipschitz Constant Computation of ReLU-FNNs: Upper Bound Computation with Exactness Verification](https://mlsanity.com/paper/2310.11104/) (2023)

## Abstract (arXiv)

We develop a novel convex parametrization of integral quadratic constraints with a terminal cost for subdifferentials of convex functions, involving general O'Shea-Zames-Falb multipliers. We show the benefit of our results for the reduction of conservatism of existing techniques, and sketch applications to the analysis of optimization algorithms or the stability analysis of neural network controllers. The development is prepared by providing a novel link between the convex integrability of a multivariable mapping and dissipativity theory.