Finite-/fixed-time synchronization of leakage and discrete delayed Hopfield neural networks with diffusion effects

Minglei Fang; Jinzhi Liu; Wei Wang; Minglei Fang; Jinzhi Liu; Wei Wang

doi:10.3934/era.2023208

Electronic Research Archive

2023, Volume 31, Issue 7: 4088-4101. doi: 10.3934/era.2023208

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Research article

Finite-/fixed-time synchronization of leakage and discrete delayed Hopfield neural networks with diffusion effects

School of Mathematics and Big Data, Anhui University of Science and Technology, Huainan 232001, China

Received: 03 March 2023 Revised: 06 May 2023 Accepted: 08 May 2023 Published: 26 May 2023

In this paper, the problem on finite-/fixed-time synchronization (FFTS) is investigated for a class of diffusive Hopfield neural networks with leakage and discrete delays. Some new and useful criteria independent on time delays but dependent on the diffusion coefficients are established to guarantee the FFTS for the addressed network model under a unified framework. In sharp contrast to the existed results which can only finite-timely or fixed-timely synchronize the systems with both diffusion effects and leakage delays, the theoretical results of this paper are more general and practical. Finally, a numerical example is presented to show the effectiveness of the proposed control methods.
- Hopfield neural network,
- finite-/fixed-time synchronization,
- leakage and discrete delay,
- diffusion effect
Citation: Minglei Fang, Jinzhi Liu, Wei Wang. Finite-/fixed-time synchronization of leakage and discrete delayed Hopfield neural networks with diffusion effects[J]. Electronic Research Archive, 2023, 31(7): 4088-4101. doi: 10.3934/era.2023208

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Abstract

In this paper, the problem on finite-/fixed-time synchronization (FFTS) is investigated for a class of diffusive Hopfield neural networks with leakage and discrete delays. Some new and useful criteria independent on time delays but dependent on the diffusion coefficients are established to guarantee the FFTS for the addressed network model under a unified framework. In sharp contrast to the existed results which can only finite-timely or fixed-timely synchronize the systems with both diffusion effects and leakage delays, the theoretical results of this paper are more general and practical. Finally, a numerical example is presented to show the effectiveness of the proposed control methods.

References

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