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   

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