Passivity of Memristive BAM Neural Networks with Probabilistic and Mixed Time-Varying Delays
Joint Authors
Li, Lixiang
Wang, Weiping
Luo, Xiong
Zhao, Wenbing
Wang, Meiqi
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-25, 25 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-04-01
Country of Publication
Egypt
No. of Pages
25
Main Subjects
Abstract EN
This paper is concerned with the passivity problem of memristive bidirectional associative memory neural networks (MBAMNNs) with probabilistic and mixed time-varying delays.
By applying random variables with Bernoulli distribution, the information of probability time-varying delays is taken into account.
Furthermore, we consider the probability distribution of the variation and the extent of the delays; therefore, the results derived are less conservative than in the existing papers.
In particular, the leakage delays as well as distributed delays are all taken into consideration.
Based on appropriate Lyapunov-Krasovskii functionals (LKFs) and some useful inequalities, several conditions for passive performance are established in linear matrix inequalities (LMIs).
Finally, numerical examples are given to demonstrate the feasibility of the presented theories, and the results reveal that the probabilistic and mixed time-varying delays have an unstable influence on the system and should not be ignored.
American Psychological Association (APA)
Wang, Weiping& Wang, Meiqi& Luo, Xiong& Li, Lixiang& Zhao, Wenbing. 2018. Passivity of Memristive BAM Neural Networks with Probabilistic and Mixed Time-Varying Delays. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-25.
https://search.emarefa.net/detail/BIM-1208099
Modern Language Association (MLA)
Wang, Weiping…[et al.]. Passivity of Memristive BAM Neural Networks with Probabilistic and Mixed Time-Varying Delays. Mathematical Problems in Engineering No. 2018 (2018), pp.1-25.
https://search.emarefa.net/detail/BIM-1208099
American Medical Association (AMA)
Wang, Weiping& Wang, Meiqi& Luo, Xiong& Li, Lixiang& Zhao, Wenbing. Passivity of Memristive BAM Neural Networks with Probabilistic and Mixed Time-Varying Delays. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-25.
https://search.emarefa.net/detail/BIM-1208099
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1208099