# Finite-time boundary stabilization of general linear hyperbolic balance laws via Fredholm backstepping transformation star

arXiv: https://arxiv.org/abs/1701.05067 · HTML: https://mlsanity.com/paper/1701.05067/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 18 Jan 2017.

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

- [Backstepping Neural Operators for 2× 2 Hyperbolic PDEs](https://mlsanity.com/paper/2312.16762/) (2023)

## Abstract (arXiv)

This paper is devoted to a simple and new proof on the optimal finite control time for general linear coupled hyperbolic system by using boundary feedback on one side. The feedback control law is designed by first using a Volterra transformation of the second kind and then using an invertible Fredholm transformation. Both existence and invertibility of the transformations are easily obtained.