SHEAF IMPULSIVE FUZZY CONTROL PROBLEM UNDER THE SECOND TYPE HUKUHARA DERIVATIVE

Junyan Bao; Peiguang Wang

doi:10.11948/20240505

2025 Volume 15 Issue 5

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Article navigation > Journal of Applied Analysis & Computation > 2025 > 15(5): 2900-2920

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Junyan Bao, Peiguang Wang. SHEAF IMPULSIVE FUZZY CONTROL PROBLEM UNDER THE SECOND TYPE HUKUHARA DERIVATIVE[J]. Journal of Applied Analysis & Computation, 2025, 15(5): 2900-2920. doi: 10.11948/20240505

Citation:

Junyan Bao, Peiguang Wang. SHEAF IMPULSIVE FUZZY CONTROL PROBLEM UNDER THE SECOND TYPE HUKUHARA DERIVATIVE[J]. Journal of Applied Analysis & Computation, 2025, 15(5): 2900-2920. doi: 10.11948/20240505

SHEAF IMPULSIVE FUZZY CONTROL PROBLEM UNDER THE SECOND TYPE HUKUHARA DERIVATIVE

Junyan Bao^1,,
Peiguang Wang^1, ,

1.
College of Mathematics and Information Science, Hebei University, Baoding 071002, China

Author Bio: Email: jybao@hbu.edu.cn(J. Bao)
Corresponding author: Email: pgwang@hbu.edu.cn(P. Wang)
Fund Project: The authors were supported by National Natural Science Foundation of China (12171135, 11771115) and the Key Project of the Natural Science Foundation of Hebei Province (A2020201021)

Abstract

Abstract

The concept of sheaf-solution to impulsive fuzzy control differential equations under the second-type Hukuhara derivative is developed in this paper. The continuous dependence of the sheaf-solution of such equations on the initial value is investigated using the Gronwall inequality. In addition, the comparison theorem and the criteria for the stability for the impulsive fuzzy control differential equations are provided.
- Impulsive fuzzy control differential equation /
- sheaf-solution /
- second-type Hukuhara derivative /
- Gronwall inequality /
- stability
MSC: 34D20, 34K36

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References

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