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Global exponential stability of uncertain neural networks with discontinuous Lurie-type activation and mixed delays

  • Harbin Institute of Technology Weihai

Research output: Contribution to journalArticlepeer-review

Abstract

This paper deals with the problem of the global exponential stability of a class of uncertain neural networks with discontinuous Lurie-type activation and mixed delays. By establishing a new sufficient condition, we first prove the existence of the equilibrium point by using the Leray-Schauder alternative theorem. Then, by employing a new Lyapunov functional, we obtain the global exponential stability of the equilibrium point of the uncertain neural network. In the end, some comparisons and numerical examples are given to show the improvement of the conclusions in this paper.

Original languageEnglish
Pages (from-to)12-19
Number of pages8
JournalNeurocomputing
Volume198
DOIs
StatePublished - 19 Jul 2016
Externally publishedYes

Keywords

  • Global exponential stability
  • Leray-Schauder alternative theorem
  • Lyapunov functional
  • Neural network with Lurie-type activation and mixed delays

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