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Finite-time stabilization of uncertain delayed-hopfield neural networks with a time-varying leakage delay via non-chattering control

Science China Technological Sciences volume 62, pages 1111–1122 (2019)Cite this article

Abstract

This article is concerned with the finite-time stabilization (FTSB) of a class of delayed-Hopfield neural networks with a time-varying delay in the leakage term in the presence of parameter uncertainties. To accomplish the target of FTSB, two new finite-time controllers are designed for uncertain delayed-Hopfield neural networks with a time-varying delay in the leakage term. By utilizing the finite-time stability theory and the Lyapunov-Krasovskii functional (LKF) approach, some sufficient conditions for the FTSB of these neural networks are established. These conditions, which can be used for the selection of control parameters, are in the form of linear matrix inequalities (LMIs) and can be numerically checked. Additionally, an upper bound of the settling time was estimated. Finally, our theoretical results are further substantiated by two numerical examples with graphical illustrations to demonstrate the effectiveness of the results.

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Authors and Affiliations

  1. Faculty of Sciences of Bizerta, Department of Mathematics, Research Units of Mathematics and Applications UR13ES47, University of Carthage, Bizerta, 7021, Tunisia

    Chaouki Aouiti & Foued Miaadi

  2. School of Mathematics and Statistics, Shandong Normal University, Ji’nan, 250014, China

    XiaoDi Li

Authors
  1. Chaouki Aouiti
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  2. XiaoDi Li
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  3. Foued Miaadi
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Correspondence to XiaoDi Li.

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Aouiti, C., Li, X. & Miaadi, F. Finite-time stabilization of uncertain delayed-hopfield neural networks with a time-varying leakage delay via non-chattering control. Sci. China Technol. Sci. 62, 1111–1122 (2019). https://doi.org/10.1007/s11431-017-9284-y

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  • DOI: https://doi.org/10.1007/s11431-017-9284-y

Keywords

  • neural networks
  • finite-time stabilization
  • parametric uncertainties
  • leakage delay
  • Lyapunov-Krasovskii functional
  • LMI