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Uniform Asymptotic Stability and Global Asymptotic Stability for Time-Delay Hopfield Neural Networks

Abstract : In this paper, we consider the uniform asymptotic stability and global asymptotic stability of the equilibrium point for time-delays Hopfield neural networks. Some new criteria of the system are derived by using the Lyapunov functional method and the linear matrix inequality approach for estimating the upper bound of the derivative of Lyapunov functional. Finally, we illustrate a numerical example showing the effectiveness of our theoretical results.
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Adnene Arbi, Chaouki Aouiti, Abderrahmane Touati. Uniform Asymptotic Stability and Global Asymptotic Stability for Time-Delay Hopfield Neural Networks. 8th International Conference on Artificial Intelligence Applications and Innovations (AIAI), Sep 2012, Halkidiki, Greece. pp.483-492, ⟨10.1007/978-3-642-33409-2_50⟩. ⟨hal-01521395⟩

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