Synchronization in Array of Coupled Neural Networks with Unbounded Distributed Delay and Limited Transmission Efficiency
Joint Authors
Cao, Jinde
Zhou, Mengzhe
Yang, Xinsong
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-16
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
This paper investigates global synchronization in an array of coupled neural networks with time-varying delays and unbounded distributed delays.
In the coupled neural networks, limited transmission efficiency between coupled nodes, which makes the model more practical, is considered.
Based on a novel integral inequality and the Lyapunov functional method, sufficient synchronization criteria are derived.
The derived synchronization criteria are formulated by linear matrix inequalities (LMIs) and can be easily verified by using Matlab LMI Toolbox.
It is displayed that, when some of the transmission efficiencies are limited, the dynamics of the synchronized state are different from those of the isolated node.
Furthermore, the transmission efficiency and inner coupling matrices between nodes play important roles in the final synchronized state.
The derivative of the time-varying delay can be any given value, and the time-varying delay can be unbounded.
The outer-coupling matrices can be symmetric or asymmetric.
Numerical simulations are finally given to demonstrate the effectiveness of the theoretical results.
American Psychological Association (APA)
Yang, Xinsong& Zhou, Mengzhe& Cao, Jinde. 2013. Synchronization in Array of Coupled Neural Networks with Unbounded Distributed Delay and Limited Transmission Efficiency. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-469161
Modern Language Association (MLA)
Yang, Xinsong…[et al.]. Synchronization in Array of Coupled Neural Networks with Unbounded Distributed Delay and Limited Transmission Efficiency. Abstract and Applied Analysis No. 2013 (2013), pp.1-12.
https://search.emarefa.net/detail/BIM-469161
American Medical Association (AMA)
Yang, Xinsong& Zhou, Mengzhe& Cao, Jinde. Synchronization in Array of Coupled Neural Networks with Unbounded Distributed Delay and Limited Transmission Efficiency. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-469161
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-469161