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
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)
