Robust stability and boundedness of uncertain conformable fractional-order delay systems under input saturation

Danhua He; Baizeng Bao; Liguang Xu; Danhua He; Baizeng Bao; Liguang Xu

doi:10.3934/math.20231076

AIMS Mathematics

2023, Volume 8, Issue 9: 21123-21137. doi: 10.3934/math.20231076

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Robust stability and boundedness of uncertain conformable fractional-order delay systems under input saturation

1.
Department of Mathematics, Zhejiang International Studies University, Hangzhou 310023, China
2.
Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou 310023, China

Received: 07 April 2023 Revised: 09 June 2023 Accepted: 25 June 2023 Published: 03 July 2023
MSC : 34K37, 93D09

In this article, a class of uncertain conformable fractional-order delay systems under input saturation is considered. By establishing the Lyapunov boundedness theorem for conformable fractional-order delay systems, some sufficient conditions for robust stability and boundedness of the systems are obtained. Examples are given to illustrate the obtained theory.
- conformable fractional-order delay systems,
- robust boundedness,
- robust stability,
- saturation
Citation: Danhua He, Baizeng Bao, Liguang Xu. Robust stability and boundedness of uncertain conformable fractional-order delay systems under input saturation[J]. AIMS Mathematics, 2023, 8(9): 21123-21137. doi: 10.3934/math.20231076

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Abstract

In this article, a class of uncertain conformable fractional-order delay systems under input saturation is considered. By establishing the Lyapunov boundedness theorem for conformable fractional-order delay systems, some sufficient conditions for robust stability and boundedness of the systems are obtained. Examples are given to illustrate the obtained theory.

References

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