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Global Exponential Stability of Periodic Solution for Neutral‐Type Complex‐Valued Neural Networks

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  • Song Guo
  • Bo Du

Abstract

This paper deals with a class of neutral‐type complex‐valued neural networks with delays. By means of Mawhin’s continuation theorem, some criteria on existence of periodic solutions are established for the neutral‐type complex‐valued neural networks. By constructing an appropriate Lyapunov‐Krasovskii functional, some sufficient conditions are derived for the global exponential stability of periodic solutions to the neutral‐type complex‐valued neural networks. Finally, numerical examples are given to show the effectiveness and merits of the present results.

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Handle: RePEc:wly:jnddns:v:2016:y:2016:i:1:n:1267954
DOI: 10.1155/2016/1267954
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