Global attractivity for uncertain differential systems

Nana Tao; Chunxiao Ding; Nana Tao; Chunxiao Ding

doi:10.3934/math.2022122

AIMS Mathematics

2022, Volume 7, Issue 2: 2142-2159. doi: 10.3934/math.2022122

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Research article

Global attractivity for uncertain differential systems

Nana Tao ^{1
,
,},
Chunxiao Ding ²

1.
School of Information Engineering, Kaifeng University, Kaifeng, 475004, Henan, China
2.
School of Mathematical Sciences, Liaocheng University, Liaocheng, 252059, Shandong, China

Received: 21 August 2021 Accepted: 19 October 2021 Published: 08 November 2021
MSC : 34D45, 37C75

This paper studies global attractivity for uncertain differential systems, which are effective tools to solve the problems with uncertainty. And They have been applied in many areas. This article presents several global attractivity concepts. Based on the knowledge of uncertainty theory, some sufficient conditions of global attractivity for linear uncertain differential systems are given. In particular, the attractivity on the solutions and $ \alpha $-path of uncertain differential systems is studied. Last, as an application of attractivity, an interest rate model with uncertainty is shown.
- global attractivity,
- uncertain differential systems,
- sufficient condition,
- $ \alpha $-path,
- interest rate model with uncertainty
Citation: Nana Tao, Chunxiao Ding. Global attractivity for uncertain differential systems[J]. AIMS Mathematics, 2022, 7(2): 2142-2159. doi: 10.3934/math.2022122

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Abstract

This paper studies global attractivity for uncertain differential systems, which are effective tools to solve the problems with uncertainty. And They have been applied in many areas. This article presents several global attractivity concepts. Based on the knowledge of uncertainty theory, some sufficient conditions of global attractivity for linear uncertain differential systems are given. In particular, the attractivity on the solutions and $ \alpha $-path of uncertain differential systems is studied. Last, as an application of attractivity, an interest rate model with uncertainty is shown.

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