Global exponential stability of non-autonomous FCNNs with Dirichlet boundary conditions and reaction–diffusion terms |
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Authors: | Ailong Wu Chaojin Fu |
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Institution: | 1. College of Mathematics and Statistics, Hubei Normal University, Huangshi 435002, China;2. Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China |
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Abstract: | In this paper, we investigate the global exponential stability of non-autonomous fuzzy cellular neural networks (FCNNs) with Dirichlet boundary conditions and reaction–diffusion terms. By constructing a suitable Lyapunov functional and utilizing some inequality techniques, we obtain some sufficient conditions for the uniqueness and global exponential stability of the equilibrium solution. The result is easy to check and plays an important role in the design and applications of globally exponentially stable fuzzy neural circuits. Finally, the utility of our result is illustrated via a numerical example. |
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Keywords: | Fuzzy cellular neural networks Global exponential stability Reaction&ndash diffusion Equilibrium solution |
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