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Stability on positive pseudo almost periodic solutions of HPDCNNs incorporating D operator

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  • Huang, Chuangxia
  • Liu, Bingwen
  • Qian, Chaofan
  • Cao, Jinde

Abstract

This article is involved with a class of high-order proportional delayed cellular neural networks incorporating D operator. To start with, we validate the boundedness and the global existence of positive solutions. Moreover, by exploiting differential inequality techniques and with the aid of Lyapunov function method, some testable conditions are obtained to assure the positiveness and global exponential stability on pseudo almost periodic solutions of the proposed models. And lastly, a numerical example is afforded to verify the effectiveness and feasibility of the theoretical findings.

Suggested Citation

  • Huang, Chuangxia & Liu, Bingwen & Qian, Chaofan & Cao, Jinde, 2021. "Stability on positive pseudo almost periodic solutions of HPDCNNs incorporating D operator," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 190(C), pages 1150-1163.
    • Handle: RePEc:eee:matcom:v:190:y:2021:i:c:p:1150-1163
    DOI: 10.1016/j.matcom.2021.06.027
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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. Cai, Mingshan & Zhang, Hong & Yuan, Zhaohui, 2008. "Positive almost periodic solutions for shunting inhibitory cellular neural networks with time-varying delays," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 78(4), pages 548-558.
    3. Huang, Chuangxia & Yang, Xiaoguang & Cao, Jinde, 2020. "Stability analysis of Nicholson’s blowflies equation with two different delays," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 171(C), pages 201-206.
    4. 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.
    5. Xu, Changjin & Li, Peiluan, 2017. "Global exponential convergence of neutral-type Hopfield neural networks with multi-proportional delays and leakage delays," Chaos, Solitons & Fractals, Elsevier, vol. 96(C), pages 139-144.
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    Cited by:

    1. Gao, Jin & Dai, Lihua & Jiang, Hongying, 2023. "Stability analysis of pseudo almost periodic solutions for octonion-valued recurrent neural networks with proportional delay," Chaos, Solitons & Fractals, Elsevier, vol. 175(P2).
    2. Li, Yongkun & Wang, Xiaohui, 2021. "Almost periodic solutions in distribution of Clifford-valued stochastic recurrent neural networks with time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 153(P2).
    3. Arunagirinathan, S. & Lee, T.H., 2024. "Generalized delay-dependent reciprocally convex inequality on stability for neural networks with time-varying delay," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 217(C), pages 109-120.

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