A note on finite-time and fixed-time stability
Adaptation and Self-Organizing Systems
2016-02-19 v3 Optimization and Control
Abstract
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.
Cite
@article{arxiv.1507.07160,
title = {A note on finite-time and fixed-time stability},
author = {Wenlian Lu and Xiwei Liu and Tianping Chen},
journal= {arXiv preprint arXiv:1507.07160},
year = {2016}
}