General Decay Synchronization for Recurrent Neural Networks With Distributed Time Delays

MUHAMMADHAJI Ahmadjan; LI Hongli

doi:10.21656/1000-0887.400127

Volume 40 Issue 11

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MUHAMMADHAJI Ahmadjan, LI Hongli. General Decay Synchronization for Recurrent Neural Networks With Distributed Time Delays[J]. Applied Mathematics and Mechanics, 2019, 40(11): 1204-1213. doi: 10.21656/1000-0887.400127

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General Decay Synchronization for Recurrent Neural Networks With Distributed Time Delays

doi: 10.21656/1000-0887.400127

College of Mathematics and System Science, Xinjiang University, Urumqi 830046, P.R.China

Funds: The National Natural Science Foundation of China(11601464;11702237)

Received Date: 2019-03-27
Rev Recd Date: 2019-04-08
Publish Date: 2019-11-01

Abstract

Abstract

The general decay synchronization (GDS) of a class of recurrent neural networks (RNNs) with general activation functions and distributed delays was studied. By means of suitable LyapunovKrasovskii functionals and useful inequality techniques, some sufficient conditions for the GDS of considered RNNs were established via a type of nonlinear control. An example with numerical simulations illustrates the correctness of the obtained theoretical results.
- recurrent neural network,
- general decay synchronization,
- distributed time delay

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References

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