Adaptive Synchronization of Neutral-Type Coupled Neural Networks With Stochastic Perturbations and Markovian Jumpings

ZHANG Zhishu; GAO Yan

doi:10.21656/1000-0887.410079

Volume 41 Issue 12

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ZHANG Zhishu, GAO Yan. Adaptive Synchronization of Neutral-Type Coupled Neural Networks With Stochastic Perturbations and Markovian Jumpings[J]. Applied Mathematics and Mechanics, 2020, 41(12): 1381-1391. doi: 10.21656/1000-0887.410079

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Adaptive Synchronization of Neutral-Type Coupled Neural Networks With Stochastic Perturbations and Markovian Jumpings

doi: 10.21656/1000-0887.410079

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

Received Date: 2020-03-16
Rev Recd Date: 2020-04-27
Publish Date: 2020-12-01

Abstract

Abstract

The adaptive synchronization problem of neutral-type neural networks with time-varying delays and stochastic perturbations was discussed. Stochastic perturbations were described as the Brownian motion. Through the Lyapunov stability theory, the LMI analysis techniques and the matrix theory were used to study the adaptive synchronization of neutral-type neural networks with stochastic perturbations and Markovian jumpings. The sufficient conditions for the system synchronization were given and proved. The criterion for adaptive synchronization of neutral-type neural networks with time-varying delays and stochastic perturbations was obtained. Finally, numerical examples show the effectiveness and applicability of the proposed approach.
- neutral-type neural network,
- stochastic perturbation,
- pinning control,
- adaptive synchronization

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References

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