Adaptive Synchronization of Neutral Neural Networks With Mixed Delays and Lévy Noises

GU Fengjiao; GAO Yan; REN Lijia; MA Jianwu; CHEN Lingqi

doi:10.21656/1000-0887.400350

Volume 41 Issue 11

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GU Fengjiao, GAO Yan, REN Lijia, MA Jianwu, CHEN Lingqi. Adaptive Synchronization of Neutral Neural Networks With Mixed Delays and Lévy Noises[J]. Applied Mathematics and Mechanics, 2020, 41(11): 1259-1274. doi: 10.21656/1000-0887.400350

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Adaptive Synchronization of Neutral Neural Networks With Mixed Delays and Lévy Noises

doi: 10.21656/1000-0887.400350

School of Electronic and Electrical Engineering, Shanghai University of Engineering Science, Shanghai 201600, P.R.China

Funds: The National Natural Science Foundation of China（61503238）

Received Date: 2019-11-21
Rev Recd Date: 2020-09-29
Publish Date: 2020-11-01

Abstract

Abstract

The problem of feedback controllers designed to achieve adaptive synchronization was investigated for neutral neural networks with mixed delays and Lévy noises. The noise disturbance in the neural network model was driven by the Lévy stochastic process consisting of the Gaussian process and the Poisson point process, and involving continuous disturbances as well as discontinuous synaptic noises. Based on the Lyapunov functional, the It?s formula and the inequality analysis technique, the criteria to ensure adaptive stabilization for the error system were built. Moreover, the update rate of the feedback controller was given to enhance the adaptive synchronization of the response system and the drive system. Results of a simulation example show the effectiveness of the theoretical analysis.
- neutral neural network,
- Lévy noise,
- adaptive synchronization,
- mixed delays

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References

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