# Input-to-State Stability in sup norms for hyperbolic systems with boundary disturbances

arXiv: https://arxiv.org/abs/2004.12026 · HTML: https://mlsanity.com/paper/2004.12026/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 25 Apr 2020.

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

- [Neural Operators for Predictor Feedback Control of Nonlinear Delay Systems](https://mlsanity.com/paper/2411.18964/) (2024)

## Abstract (arXiv)

We give sufficient conditions for Input-to-State Stability in C1 norm of general quasilinear hyperbolic systems with boundary input disturbances. In particular the derivation of explicit Input-to-State Stability conditions is discussed for the special case of 2× 2 systems.