期刊论文详细信息
AIMS Mathematics | |
A new fixed-time stability criterion for fractional-order systems | |
Hui Liu1  Yucai Ding1  | |
[1] School of science, Southwest University of Science and Technology, Mianyang, 621010, China; | |
关键词: fixed-time stability; fixed-time synchronization; fractional-order neural networks; comparison principle; | |
DOI : 10.3934/math.2022343 | |
来源: DOAJ |
【 摘 要 】
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.
【 授权许可】
Unknown