Global dissipativity of fuzzy bidirectional associative memory neural networks with proportional delays

Document Type : Research Paper

Authors

1 University of Carthage, Faculty of Sciences of Bizerta, Department of Mathematics, Research Units of Mathematics and Applications UR13ES47, 7021 Zarzouna, Bizerta, Tunisia

2 Department of Applied Mathematics, Bharathiar University, Coimbatore - 641 046, India.

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