Some new results on stability and input to state stability of fuzzy differential equations

In this paper, we introduce a new notion of stability, namely generalized practical h−stability. Both generalized practical h−stability and generalized input-to-state practical h−stability are considered. Under Lyapunov techniques, some sufficient conditions are given which guarantee generalized practical h−stability of fuzzy differential equations. The generalized practical h−stability analysis is also accomplished with the help of the scalar h−stable functions.

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Publication Details

Journal
Annals of the University of Craiova Mathematics and Computer Science Series
Published
2024-12-25
DOI
https://doi.org/10.52846/ami.v51i2.1876
Primary Topic
Fuzzy Systems and Optimization
Type
article
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article

Some new results on stability and input to state stability of fuzzy differential equations

Boulbaba Ghanmi, Mnasri Ichrak
Annals of the University of Craiova Mathematics and Computer Science Series
Fuzzy Systems and Optimization
article

Some new results on stability and input to state stability of fuzzy differential equations

Boulbaba Ghanmi, Mnasri Ichrak
article en

Abstract

In this paper, we introduce a new notion of stability, namely generalized practical h−stability. Both generalized practical h−stability and generalized input-to-state practical h−stability are considered. Under Lyapunov techniques, some sufficient conditions are given which guarantee generalized practical h−stability of fuzzy differential equations. The generalized practical h−stability analysis is also accomplished with the help of the scalar h−stable functions.

Annals of the University of Craiova Mathematics and Computer Science SeriesVol. 51(2)
University of Sfax (TN), University of Gafsa (TN)
Openalex Percentile: Top 74%
Fuzzy Systems and Optimization
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