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

Yucai Ding; Hui Liu; Yucai Ding; Hui Liu

doi:10.3934/math.2022343

AIMS Mathematics

2022, Volume 7, Issue 4: 6173-6181. doi: 10.3934/math.2022343

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Research article

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

Yucai Ding ^,,
Hui Liu

School of science, Southwest University of Science and Technology, Mianyang, 621010, China

Received: 03 November 2021 Revised: 24 December 2021 Accepted: 12 January 2022 Published: 18 January 2022
MSC : 93B52, 93C42

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.
- fixed-time stability,
- fixed-time synchronization,
- fractional-order neural networks,
- comparison principle
Citation: Yucai Ding, Hui Liu. A new fixed-time stability criterion for fractional-order systems[J]. AIMS Mathematics, 2022, 7(4): 6173-6181. doi: 10.3934/math.2022343

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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.

References

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