@article{Ding2022, 
author = {Yucai Ding and Hui Liu},
title = {A new fixed-time stability criterion for fractional-order systems},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {4},
pages = {6173-6181},
keywords = {fixed-time stability, fixed-time synchronization, fractional-order neural networks, comparison principle},
url = {https://www.sciopen.com/article/10.3934/math.2022343},
doi = {10.3934/math.2022343},
abstract = {In this work, we study the fixed-time stability of fractional-order systems. By virtue of the properties of Riemann-Liouville fractional derivative and the comparison principle, we derive a new fixed-time stability theorem for fractional-order systems. Meanwhile, order-dependent setting time is formulated. Based on the developed fixed-time stability theorem, a fixed-time synchronization criterion for fractional-order neural networks is given. Simulation result demonstrates the effectiveness of our proposed results.}
}