Title
Asymptotic stability of bidirectional associative memory neural networks with time-varying delays via delta operator approach.
Abstract
This paper is interested in the problem of asymptotic stability analysis of Bidirectional Associative Memory (BAM) neural networks with time-varying delays via delta operator approach. The delays are assumed to exist in the nonlinear synaptic connection between different neural fields. Based on the Lyapunov–Krasovskii functional in delta domain, a new delay-dependent criterion for analyzing the asymptotic stability of BAM neural networks is obtained. Some previous results of continuous and discrete BAM systems are unified into the delta operator system framework due to the favorable numerical properties and the quasi-continuous performance of delta operator approach at high sampling rates. Since the sampling period is an explicit parameter in the results, it can be regulated to analyze the stability of systems. Numerical examples are presented to demonstrate the effectiveness of the developed theoretical results.
Year
DOI
Venue
2013
10.1016/j.neucom.2012.12.008
Neurocomputing
Keywords
Field
DocType
Bidirectional associative memory (BAM) neural networks,Time-varying delays,Delta operator approach,Asymptotic stability,Lyapunov–Krasovskii functional
Delta operator,Nonlinear system,Bidirectional associative memory,Sampling (signal processing),Neural fields,Exponential stability,Sampling (statistics),Artificial intelligence,Artificial neural network,Machine learning,Mathematics
Journal
Volume
Issue
ISSN
117
null
0925-2312
Citations 
PageRank 
References 
10
0.50
13
Authors
5
Name
Order
Citations
PageRank
Zhengli Zhao11235.02
Fangzhou Liu212510.67
Xiaochen Xie3141.31
Xiaohui Liu45042269.99
Zhenmin Tang567855.54