Advances in Difference Equations (Aug 2019)

Almost sure exponential stabilization of neural networks by aperiodically intermittent control based on delay observations

  • Xiuli He,
  • Lei Liu,
  • Lichao Feng

DOI
https://doi.org/10.1186/s13662-019-2260-8
Journal volume & issue
Vol. 2019, no. 1
pp. 1 – 14

Abstract

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Abstract This paper is concerned with almost sure exponential stabilization of neural networks by intermittent control based on delay observations. By the stochastic comparison principle and Itô’s formula, a sufficient criterion is derived, under which unstable neural networks can be stabilized by stochastic intermittent control based on delay observations. The range of intermittent rate is given, and the upper bound of time delay can be solved from a transcend equation. Finally, two examples are provided to demonstrate the feasibility and validity of our proposed methods.

Keywords