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Global exponential synchronization of nonautonomous recurrent neural networks with time delays on time scales

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  • Wang, Lingyu
  • Huang, Tingwen
  • Xiao, Qiang

Abstract

This paper is concerned on the global exponential synchronization in timescale sense for a class of nonautonomous recurrent neural networks (NRNNs) with discrete-time delays on time scales. Firstly, a timescale-type comparison result is given based on the induction principle of time scales. Then by the constructed comparison lemma, the theory of time scales and analytical techniques, several synchronization criteria for the driven and response NRNNs are obtained. Moreover, several examples are given to show the effectiveness and validity of the main results. The obtained synchronization criteria improve or extend some existing ones in the literature.

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  • Wang, Lingyu & Huang, Tingwen & Xiao, Qiang, 2018. "Global exponential synchronization of nonautonomous recurrent neural networks with time delays on time scales," Applied Mathematics and Computation, Elsevier, vol. 328(C), pages 263-275.
    • Handle: RePEc:eee:apmaco:v:328:y:2018:i:c:p:263-275
    DOI: 10.1016/j.amc.2018.01.029
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    References listed on IDEAS

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