Stability Analysis of Fractional-Order Bidirectional Associative Memory Neural Networks with Mixed Time-Varying Delays
Joint Authors
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-22, 22 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-10-31
Country of Publication
Egypt
No. of Pages
22
Main Subjects
Abstract EN
This paper studies the stability analysis of fractional-order bidirectional associative memory neural networks with mixed time-varying delays.
The orders of these systems lie in the interval 1,2.
Firstly, a sufficient condition is derived to ensure the finite-time stability of systems by resorting to some analytical techniques and some elementary inequalities.
Next, a sufficient condition is obtained to guarantee the global asymptotic stability of systems based on the Laplace transform, the mean value theorem, the generalized Gronwall inequality, and some properties of Mittag–Leffler functions.
In particular, these obtained conditions are expressed as some algebraic inequalities which can be easily calculated in practical applications.
Finally, some numerical examples are given to verify the feasibility and effectiveness of the obtained main results.
American Psychological Association (APA)
Yang, Zhanying& Zhang, Jie. 2019. Stability Analysis of Fractional-Order Bidirectional Associative Memory Neural Networks with Mixed Time-Varying Delays. Complexity،Vol. 2019, no. 2019, pp.1-22.
https://search.emarefa.net/detail/BIM-1131218
Modern Language Association (MLA)
Yang, Zhanying& Zhang, Jie. Stability Analysis of Fractional-Order Bidirectional Associative Memory Neural Networks with Mixed Time-Varying Delays. Complexity No. 2019 (2019), pp.1-22.
https://search.emarefa.net/detail/BIM-1131218
American Medical Association (AMA)
Yang, Zhanying& Zhang, Jie. Stability Analysis of Fractional-Order Bidirectional Associative Memory Neural Networks with Mixed Time-Varying Delays. Complexity. 2019. Vol. 2019, no. 2019, pp.1-22.
https://search.emarefa.net/detail/BIM-1131218
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1131218