Improved stability analysis for neural networks with time-varying delay
type: Item
instance of: scholarly article
title: Improved stability analysis for neural networks with time-varying delay
zbMATH Open document ID: 1264.34142
DOI: 10.1155/2012/950269
author: Yongming Li
author: Junkang Tian
author: Jinzhou Zhao
author: Lie-Hui Zhang
author: Tiejun Li
published in: Mathematical Problems in Engineering
publication date: 2013-06-11T00:00:00Z
review text: Summary: We are concerned with the problem of delay-dependent asymptotic stability for neural networks with time-varying delay. A new class of Lyapunov functional dividing the interval delay is constructed to derive some new delay-dependent stability criteria. The obtained criteria are less conservative because free-weighting matrices method, a convex optimization approach, and a mixed dividing delay interval approach are considered. Finally, numerical examples are given to illustrate the effectiveness of the proposed method.
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 93D20
zbMATH DE Number: 6173720
Wikidata QID: Q58912747
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/950269
OpenAlex ID: W2154305519
cites work: Global asymptotic stability of a larger class of neural networks with constant time delay
cites work: Global asymptotic and robust stability of recurrent neural networks with time delays
cites work: New results on stability analysis of neural networks with time-varying delays
cites work: Improved stability criteria for neural networks with time-varying delay
cites work: New stability criteria of neural networks with interval time-varying delay: a piecewise delay method
cites work: Further results on state estimation for neural networks of neutral-type with time-varying delay
cites work: New results for global stability of a class of neutral-type neural systems with time delays
cites work: Global exponential stability of BAM neural networks with distributed delays and reaction-diffusion terms
cites work: Global asymptotic stability of hybrid bidirectional associative memory neural networks with time delays
cites work: Novel stability of cellular neural networks with interval time-varying delay
cites work: A new approach to exponential stability analysis of neural networks with time-varying delays
cites work: New conditions for global exponential stability of cellular neural networks with delays
cites work: New results on exponential passivity of neural networks with time-varying delays
cites work: Further stability criterion on delayed recurrent neural networks based on reciprocal convex technique
cites work: Master-slave synchronization of stochastic neural networks with mixed time-varying delays
cites work: Global robust stability of switched interval neural networks with discrete and distributed time-varying delays of neural type
cites work: Synchronization for an array of coupled Cohen-Grossberg neural networks with time-varying delay
cites work: Robust stability analysis of fuzzy neural network with delays
cites work: Linear Matrix Inequalities in System and Control Theory
description: scientific article; zbMATH DE number 6173720