Title of article
Global dissipativity of fuzzy bidirectional associative memory neural networks with proportional delays
Author/Authors
Aouiti , C. University of Carthage - Faculty of Sciences of Bizerta - Department of Mathematics - Research Units of Mathematics and Applications, Zarzouna, Bizerta, Tunisia , Sakthivel, R. Department of Applied Mathematics - Bharathiar University, Coimbatore, India , Aouiti, C. University of Carthage - Faculty of Sciences of Bizerta - Department of Mathematics - Research Units of Mathematics and Applications, Zarzouna, Bizerta, Tunisia
Pages
16
From page
65
To page
80
Abstract
This article aimed to investigate the problem of global dissipativity of Fuzzy Bidirectional Associative Memory Neural Networks (FBAMNNs- for short) with proportional delays. Via Lyapunov Functionals (LFs- for short) and Linear Matrix Inequality (LMI- for short) approach, we obtained new sufficient conditions to guarantee the global dissipativity and global exponential dissipativity of the proposed model. In addition, two different types of activation functions are considered, including general bounded and Lipschitz-type activation functions. Moreover, the globally attractive and globally exponentially attractive sets are presented. Lastly, two numerical examples are given to illustrate the effectiveness of the developed results.
Keywords
FBAMNNs , global dissipativity , global exponential dissipativity , Lyapunov function , LMIs , proportional delays
Journal title
Iranian Journal of Fuzzy Systems (IJFS)
Serial Year
2021
Record number
2526942
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