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
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;
Journal_Title :
Neural Networks and Learning Systems, IEEE Transactions on
DOI :
10.1109/TNNLS.2013.2280458