Global dissipativity of fuzzy bidirectional associative memory neural networks with proportional delays
Publish place: Iranian Journal of Fuzzy Systems، Vol: 18، Issue: 2
Publish Year: 1400
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_IJFS-18-2_006
تاریخ نمایه سازی: 30 خرداد 1400
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.
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Authors
C. Aouiti
University of Carthage, Faculty of Sciences of Bizerta, Department of Mathematics, Research Units of Mathematics and Applications UR۱۳ES۴۷, ۷۰۲۱ Zarzouna, Bizerta, Tunisia
R. Sakthivel
Department of Applied Mathematics, Bharathiar University, Coimbatore - ۶۴۱ ۰۴۶, India.
F. Touati
University of Carthage, Faculty of Sciences of Bizerta, Department of Mathematics, Research Units of Mathematics and Applications UR۱۳ES۴۷, ۷۰۲۱ Zarzouna, Bizerta, Tunisia