# Consistent Discretization of a Class of Predefined-Time Stable Systems

arXiv: https://arxiv.org/abs/2001.08318 · HTML: https://mlsanity.com/paper/2001.08318/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 23 Jan 2020.

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

- [PLATE: A perception-latency aware estimator,](https://mlsanity.com/paper/2401.13596/) (2024)

## Abstract (arXiv)

As the main contribution, this document provides a consistent discretization of a class of fixed-time stable systems, namely predefined-time stable systems. In the unperturbed case, the proposed approach allows obtaining not only a consistent but exact discretization of the considered class of predefined-time stable systems, whereas in the perturbed case, the consistent discretization preserves the predefined-time stability property. All the results are validated through simulations and compared with the conventional explicit Euler scheme, highlighting the advantages of this proposal.