Letters: On stability of disturbed Hopfield neural networks with time delays

作者: Yiguang Liu , Zhisheng You , Liping Cao

DOI: 10.1016/J.NEUCOM.2005.08.002

关键词: Ideal solutionMathematicsExponential stabilityUniquenessType (model theory)Hopfield networkStability (learning theory)Control theoryTime delaysArtificial neural network

摘要: In real application, the dynamics of Hopfield neural network is often affected by disturbing signals and time delays, so it worthwhile to study dynamical properties this type network. Firstly, ideal solution defined as without signals. order ensure uniqueness, L"2-gain stability, global stability or exponential solution, corresponding sufficient conditions are presented, respectively, using homotopic method, inequality techniques, M-matrix one time-delay inequality. All obtained results illustrated several simulations.

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