4.7 Article

Synchronization of Coupled Stochastic Reaction-Diffusion Neural Networks With Multiple Weights and Delays via Pinning Impulsive Control

期刊

出版社

IEEE COMPUTER SOC
DOI: 10.1109/TNSE.2021.3137255

关键词

Synchronization; Biological neural networks; Stochastic processes; Delays; Neurons; Mathematical models; Energy consumption; Synchronization; reaction-diffusion term; multiple weights; time-delays; pinning impulsive control

资金

  1. National Natural Science Foundation of China [61873213]
  2. Fundamental Research Funds for The Central Universities [XDJK2020TY003, XDJK2019D011]

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This paper investigates the synchronization problem of coupled stochastic reaction-diffusion neural networks with multiple weights and time delays using pinning impulsive control. Sufficient conditions are obtained to ensure synchronization, and a numerical simulation is conducted to verify the theoretical results.
The paper mainly investigates the synchronization problem of coupled stochastic reaction-diffusion neural networks with multiple weights and time delays via pinning impulsive control. Based on stochastic analysis theory, inequality technology, LMIs, and the principle of comparison, the sufficient conditions are obtained to ensure the synchronization of the coupled RDNNs with multiple weights and delays using a suitable pinning impulsive control protocol. Compared with the recent relevant theoretical research, the model established in this paper is more universal, and takes more industrial constraints into consideration. In addition, the synchronization criterion obtained in the paper has less restrictions. Finally, a numerical simulation is given to verify the correctness and feasibility of the theoretical results.

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