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Stability analysis of uncertain delay differential equations.
- Source :
-
Journal of Intelligent & Fuzzy Systems . 2021, Vol. 40 Issue 5, p9887-9897. 11p. - Publication Year :
- 2021
-
Abstract
- Uncertain delay differential equation is a class of functional differential equations driven by Liu process. It is an important model to describe the evolution process of uncertain dynamical system. In this paper, on the one hand, the analytic expression of a class of linear uncertain delay differential equations are investigated. On the other hand, the new sufficient conditions for uncertain delay differential equations being stable in measure and in mean are presented by using retarded-type Gronwall inequality. Several examples show that our stability conditions are superior to the existing results. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10641246
- Volume :
- 40
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- Journal of Intelligent & Fuzzy Systems
- Publication Type :
- Academic Journal
- Accession number :
- 151821787
- Full Text :
- https://doi.org/10.3233/JIFS-202507