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New results on dynamics of neutral type HCNNs with proportional delays

Author

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  • Deng, Yunke
  • Huang, Chuangxia
  • Cao, Jinde

Abstract

We deal with the problem of the convergence of HCNNs (High-order Cellular Neural Networks) involving neutral type time-proportional delays and D operators in this paper. By combining Lyapunov function approach and differential inequality theory, we establish some novel assertions to check the global exponential convergence for the proposed model, which lay the foundation to devise a stable HCNNs and extend some known relevant results. Meanwhile, the outcomes of numerical simulations are highly consistent with the theoretical results.

Suggested Citation

  • Deng, Yunke & Huang, Chuangxia & Cao, Jinde, 2021. "New results on dynamics of neutral type HCNNs with proportional delays," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 187(C), pages 51-59.
    • Handle: RePEc:eee:matcom:v:187:y:2021:i:c:p:51-59
    DOI: 10.1016/j.matcom.2021.02.001
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    References listed on IDEAS

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    1. Huang, Chuangxia & Su, Renli & Cao, Jinde & Xiao, Songlin, 2020. "Asymptotically stable high-order neutral cellular neural networks with proportional delays and D operators," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 171(C), pages 127-135.
    2. Yu, Yuehua, 2016. "Global exponential convergence for a class of HCNNs with neutral time-proportional delays," Applied Mathematics and Computation, Elsevier, vol. 285(C), pages 1-7.
    3. Balasundaram, K. & Raja, R. & Pratap, A. & Chandrasekaran, S., 2019. "Impulsive effects on competitive neural networks with mixed delays: Existence and exponential stability analysis," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 155(C), pages 290-302.
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    Cited by:

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    2. Karnan, A. & Nagamani, G., 2022. "Non-fragile state estimation for memristive cellular neural networks with proportional delay," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 193(C), pages 217-231.
    3. Shafiya, M. & Nagamani, G. & Dafik, D., 2022. "Global synchronization of uncertain fractional-order BAM neural networks with time delay via improved fractional-order integral inequality," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 191(C), pages 168-186.
    4. Chao Wang & Yinfang Song & Fengjiao Zhang & Yuxiao Zhao, 2023. "Exponential Stability of a Class of Neutral Inertial Neural Networks with Multi-Proportional Delays and Leakage Delays," Mathematics, MDPI, vol. 11(12), pages 1-14, June.

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