Stability Analysis of a Class of Neural Networks with State-Dependent State Delay
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-05-01
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The differential equations with state-dependent delay are very important equations because they can describe some problems in the real world more accurately.
Due to the complexity of state-dependent delay, it also brings challenges to the research.
The value of delay varying with the state is the difference between state-dependent delay and time-dependent delay.
It is impossible to know exactly in advance how far historical state information is needed, and then the problem of state-dependent delay is more complicated compared with time-dependent delay.
The dominating work of this paper is to solve the stability problem of neural networks equipped with state-dependent state delay.
We use the purely analytical method to deduce the sufficient conditions for local exponential stability of the zero solution.
Finally, a few numerical examples are presented to prove the availability of our results.
American Psychological Association (APA)
Chen, Yue& Jin-E, Zhang. 2020. Stability Analysis of a Class of Neural Networks with State-Dependent State Delay. Discrete Dynamics in Nature and Society،Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1153100
Modern Language Association (MLA)
Chen, Yue& Jin-E, Zhang. Stability Analysis of a Class of Neural Networks with State-Dependent State Delay. Discrete Dynamics in Nature and Society No. 2020 (2020), pp.1-9.
https://search.emarefa.net/detail/BIM-1153100
American Medical Association (AMA)
Chen, Yue& Jin-E, Zhang. Stability Analysis of a Class of Neural Networks with State-Dependent State Delay. Discrete Dynamics in Nature and Society. 2020. Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1153100
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1153100