Title
Novel Global Asymptotic Stability Conditions for Hopfield Neural Networks with Time Delays
Abstract
In this paper, the global asymptotic stability of Hopfield neural networks with time delays is investigated. Some novel sufficient conditions are presented for the global stability of a given delayed Hopfield neural networks by constructing Lyapunov functional and using some well-known inequalities. A linear matrix inequality (LMI) approach is developed to establish sufficient conditions for the given neural networks. An illustrative example is provided to demonstrate the effectiveness of our theoretical results.
Year
DOI
Venue
2007
10.1007/978-3-540-72383-7_109
ISNN (1)
Keywords
Field
DocType
sufficient condition,neural network,illustrative example,novel global asymptotic stability,global stability,time delays,hopfield neural network,linear matrix inequality,theoretical result,hopfield neural networks,time delay,novel sufficient condition,global asymptotic stability,lyapunov function
Mathematical optimization,Computer science,Control theory,Recurrent neural network,Exponential stability,Artificial neural network,Cellular neural network,Lyapunov functional,Hopfield network,Linear matrix inequality
Conference
Volume
ISSN
Citations 
4491
0302-9743
0
PageRank 
References 
Authors
0.34
5
3
Name
Order
Citations
PageRank
Ming Gao1101.11
Baotong Cui233939.97
Li Sheng312515.24