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Exponential stability of delayed fuzzy cellular neural networks with diffusion
Institution:1. Division of Electronic Engineering, and Advanced Research Center of Electronics and Information, Chonbuk National University, Jeonju-Si 54896, South Korea;2. Department of Mathematics, National Institute of Technology Calicut, Kozhikode, Kerala 673 601, India;3. Department of Mathematics, Thiruvalluvar University, Vellore, Tamil Nadu 632 115 India;4. School of Mathematics, and Research Center for Complex Systems and Network Sciences, Southeast University, Nanjing 210996, China;5. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia;6. Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah 21589, Saudi Arabia
Abstract:The exponential stability of delayed fuzzy cellular neural networks (FCNN) with diffusion is investigated. Exponential stability, significant for applications of neural networks, is obtained under conditions that are easily verified by a new approach. Earlier results on the exponential stability of FCNN with time-dependent delay, a special case of the model studied in this paper, are improved without using the time-varying term condition: dτ(t)/dt < μ.
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