# A note on finite-time and fixed-time stability

arXiv: https://arxiv.org/abs/1507.07160 · HTML: https://mlsanity.com/paper/1507.07160/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 26 Jul 2015.

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

- [Finite-Time Consensus Learning for Decentralized Optimization with Nonlinear Gossiping](https://mlsanity.com/paper/2111.02949/) (2021)

## Abstract (arXiv)

In this letter, by regarding finite-time stability as an inverse problem, we reveal the essence of finite-time stability and fixed-time stability. Some necessary and sufficient conditions are given. As application, we give a new approach for finite-time and fixed-time synchronization and consensus. Many existing results can be derived by the general approach.