DocumentCode
11508
Title
Lagrange Stability of Memristive Neural Networks With Discrete and Distributed Delays
Author
Ailong Wu ; Zhigang Zeng
Author_Institution
Coll. of Math. & Stat., Hubei Normal Univ., Huangshi, China
Volume
25
Issue
4
fYear
2014
fDate
Apr-14
Firstpage
690
Lastpage
703
Abstract
Memristive neuromorphic system is a good candidate for creating artificial brain. In this paper, a general class of memristive neural networks with discrete and distributed delays is introduced and studied. Some Lagrange stability criteria dependent on the network parameters are derived via nonsmooth analysis and control theory. In particular, several succinct criteria are provided to ascertain the Lagrange stability of memristive neural networks with and without delays. The proposed Lagrange stability criteria are the improvement and extension of the existing results in the literature. Three numerical examples are given to show the superiority of theoretical results.
Keywords
delays; discrete systems; neural nets; stability; Lagrange stability; discrete delay; distributed delay; memristive neural network; memristive neuromorphic system; Biological neural networks; Delays; Memristors; Stability criteria; Trajectory; Hybrid systems; Lagrange stability; memristive neural networks; nonsmooth analysis;
fLanguage
English
Journal_Title
Neural Networks and Learning Systems, IEEE Transactions on
Publisher
ieee
ISSN
2162-237X
Type
jour
DOI
10.1109/TNNLS.2013.2280458
Filename
6600989
Link To Document