This paper studies the general decay synchronization (GDS) of a class of recurrent neural networks (RNNs) with general activation functions and mixed time delays. By constructing suitable Lyapunov-Krasovskii functionals and employing useful inequality techniques, some sufficient conditions on the GDS of considered RNNs are established via a type of nonlinear control. In addition, one example with numerical simulations is presented to illustrate the obtained theoretical results.
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This research was supported by the National Natural Science Foundation of Xinjiang under Grant No. 2016D01C075.
This paper was recommended for publication by Editor SUN Jian.
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Muhammadhaji, A., Teng, Z. General Decay Synchronization for Recurrent Neural Networks with Mixed Time Delays. J Syst Sci Complex 33, 672–684 (2020). https://doi.org/10.1007/s11424-020-8209-x
- General activation functions
- general decay synchronization
- mixed time delay
- recurrent neural network