4.7 Article

Enhanced stability results for generalized neural networks with time -varying delay

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PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jfranklin.2020.04.049

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Funding

  1. Key RAMP
  2. D Program of Shanxi Province [201903D421045]
  3. Shanxi Province Science Foundation for Youths [201701D221107]

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This paper deals with the stability analysis problem for generalized neural network with time-varying delay. A proper Lyapunov-Krasovskii functional (LKF) with novel delay-product-dependent term is constructed, which fully considers the features of the improved Jensen integral inequality. Based on the new proposed LKF and a more general integral inequality issued from the improved Jensen one, an enhanced delay-dependent stability criterion is developed in terms of linear matrix inequality (LMI). Furthermore, a more refined stability criterion is established by relaxing the positive definiteness of the LKF. The effectiveness of the theoretical results are demonstrated by four numerical examples. (C) 2020 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

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