Paper Info
Title
Synchronization of fuzzy bidirectional associative memory neural networks with various time delays
Abstract
The problem of synchronization for fuzzy bidirectional associative memory (BAM) neural networks (NNs) with various time delays is formulated and investigated. The various delays consist of discrete delays, unbounded distributed delays and constant delay in the leakage term (i.e. ‘leakage delay’) are considered. Then, some sufficient conditions are presented to guarantee the global asymptotic stability of the error dynamical system by using Lyapunov–Krasovskii functional and linear matrix inequality (LMI) method. As a result, we achieved synchronization of master-slave (drive-response) fuzzy BAM NNs systems. Even, if there is no leakage delay, the obtained results are less restrictive to some known sufficient conditions. Moreover, the proposed results do not require the boundedness, differentiability and monotonicity of the activation functions, which can also be easily checked via the LMI solver in robust control toolbox in Matlab. Furthermore, using a parameter-dependent Lyapunov function approach the synchronization problem for polytopic uncertain fuzzy BAM NNs with various time delays is considered. The parameter uncertainties under consideration are assumed to belong to a fixed convex polytope. Finally, two numerical examples and simulations are given to illustrate the effectiveness of the derived theoretical results.
Year
DOI
Venue
2015
10.1016/j.amc.2015.07.061
Applied Mathematics and Computation
Keywords
Field
DocType
Synchronization,Fuzzy BAM neural networks,Linear matrix inequalities (LMIs),Delay
Lyapunov function,Synchronization,Bidirectional associative memory,Control theory,Fuzzy logic,Exponential stability,Artificial neural network,Robust control,Linear matrix inequality,Mathematics
Journal
Volume
ISSN
Citations 
270
0096-3003
11
PageRank 
References 
Authors
0.48
23
3
Name
Order
Citations
PageRank
Kuru Ratnavelu1908.23
M. Sabarimalai Manikandan218420.80
P. Balasubramaniam391752.98