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Global exponential convergence of neutral-type Hopfield neural networks with multi-proportional delays and leakage delays

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  • Xu, Changjin
  • Li, Peiluan

Abstract

This paper is concerned with a class of neutral-type Hopfield neural networks with multi-proportional delays and leakage delays. Using the differential inequality theory, a set of sufficient conditions which guarantee that all solutions of neutral-type Hopfield neural networks with multi-proportional delays and leakage delays converge exponentially to zero vector are derived. Computer simulations are carried out to verify our theoretical findings. The obtained results of this paper are new and complement some previous studies.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:96:y:2017:i:c:p:139-144
    DOI: 10.1016/j.chaos.2017.01.012
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    References listed on IDEAS

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    1. 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.
    2. Jian, Jigui & Wan, Peng, 2015. "Global exponential convergence of generalized chaotic systems with multiple time-varying and finite distributed delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 431(C), pages 152-165.
    3. Yuanfu Shao & Changjin Xu & Qianhong Zhang, 2012. "Globally Exponential Stability of Periodic Solutions to Impulsive Neural Networks with Time-Varying Delays," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-14, May.
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    Citations

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    Cited by:

    1. 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.
    2. Yongkun Li & Xiaofang Meng, 2017. "Existence and Global Exponential Stability of Pseudo Almost Periodic Solutions for Neutral Type Quaternion-Valued Neural Networks with Delays in the Leakage Term on Time Scales," Complexity, Hindawi, vol. 2017, pages 1-15, December.
    3. Bing Li & Yongkun Li & Xiaofang Meng, 2019. "The Existence and Global Exponential Stability of Almost Periodic Solutions for Neutral-Type CNNs on Time Scales," Mathematics, MDPI, vol. 7(4), pages 1-25, March.
    4. Bing Li & Yongkun Li, 2019. "Existence and Global Exponential Stability of Almost Automorphic Solution for Clifford-Valued High-Order Hopfield Neural Networks with Leakage Delays," Complexity, Hindawi, vol. 2019, pages 1-13, July.
    5. 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.
    6. Danca, Marius-F., 2021. "Hopfield neuronal network of fractional order: A note on its numerical integration," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).

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