Open AccessA new fixed-time stability criterion for fractional-order systems
Author(s) -
Yucai Ding,
AUTHOR_ID,
Hui Liu
Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2022343
Subject(s) - mathematics , fractional calculus , stability (learning theory) , fixed point theorem , order (exchange) , fixed point , synchronization (alternating current) , stability theorem , derivative (finance) , control theory (sociology) , mathematical analysis , topology (electrical circuits) , computer science , combinatorics , control (management) , finance , machine learning , cauchy distribution , artificial intelligence , financial economics , economics
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.