Finite time stability of tempered fractional systems with time delays
Optimization and Control
2023-11-20 v1
Abstract
We investigate the notion of finite time stability for tempered fractional systems (TFSs) with time delays and variable coefficients. Then, we examine some sufficient conditions that allow concluding the TFSs stability in a finite time interval, which include the nonhomogeneous and the homogeneous delayed cases. We present two different approaches. The first one is based on H\"older's and Jensen's inequalities, while the second one concerns the Bellman--Gr\"onwall method using the tempered Gr\"onwall inequality. Finally, we provide two numerical examples to show the practicability of the developed procedures.
Keywords
Cite
@article{arxiv.2311.06608,
title = {Finite time stability of tempered fractional systems with time delays},
author = {Hanaa Zitane and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:2311.06608},
year = {2023}
}
Comments
This is a preprint version of the paper published open access in 'Chaos Solitons Fractals'