Wirtinger-based Exponential Stability for Time-Delay Systems
Optimization and Control
2017-11-27 v2
Abstract
This paper deals with the exponential stabilization of a time-delay system with an average of the state as the output. A general stability theorem with a guaranteed exponential decay-rate based on a Wirtinger-based inequality is provided. Variations of this theorem for synthesis of a controller or for an observer-based control is derived. Some numerical comparisons are proposed with existing theorems of the literature and comparable results are obtained but with an extension to stabilization.
Cite
@article{arxiv.1708.02119,
title = {Wirtinger-based Exponential Stability for Time-Delay Systems},
author = {Matthieu Barreau and Alexandre Seuret and Frederic Gouaisbaut},
journal= {arXiv preprint arXiv:1708.02119},
year = {2017}
}
Comments
7 pages, 2 figures, conference