A new fixed-time stability criterion for fractional-order systems | Zendy

Yucai Ding | Zendy; Hui Liu | Zendy

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A new fixed-time stability criterion for fractional-order systems

Author(s) -

Yucai Ding,

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.

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