Mean-Square Exponential Input-to-State Stability of Stochastic Fuzzy Recurrent Neural Networks with Multiproportional Delays and Distributed Delays
Joint Authors
Zhu, Quanxin
Wang, Tianyu
Cai, Jingwei
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-10-04
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We are interested in a class of stochastic fuzzy recurrent neural networks with multiproportional delays and distributed delays.
By constructing suitable Lyapunov-Krasovskii functionals and applying stochastic analysis theory, Ito^’s formula and Dynkin’s formula, we derive novel sufficient conditions for mean-square exponential input-to-state stability of the suggested system.
Some remarks and discussions are given to show that our results extend and improve some previous results in the literature.
Finally, two examples and their simulations are provided to illustrate the effectiveness of the theoretical results.
American Psychological Association (APA)
Wang, Tianyu& Zhu, Quanxin& Cai, Jingwei. 2018. Mean-Square Exponential Input-to-State Stability of Stochastic Fuzzy Recurrent Neural Networks with Multiproportional Delays and Distributed Delays. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1208310
Modern Language Association (MLA)
Wang, Tianyu…[et al.]. Mean-Square Exponential Input-to-State Stability of Stochastic Fuzzy Recurrent Neural Networks with Multiproportional Delays and Distributed Delays. Mathematical Problems in Engineering No. 2018 (2018), pp.1-11.
https://search.emarefa.net/detail/BIM-1208310
American Medical Association (AMA)
Wang, Tianyu& Zhu, Quanxin& Cai, Jingwei. Mean-Square Exponential Input-to-State Stability of Stochastic Fuzzy Recurrent Neural Networks with Multiproportional Delays and Distributed Delays. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1208310
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1208310