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Boundedness and global stability for nonautonomous recurrent neural networks with distributed delays

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  • Jiang, Haijun
  • Teng, Zhidong

Abstract

In this paper, we investigate the nonautonomous recurrent neural networks systems with distributed delay. By applying Lyapunov functional method and using some analytic technique, several sufficient conditions to ensure the ultimate boundedness, global asymptotic stability and global exponential stability are established. The results obtained in this paper are new and useful.

Suggested Citation

  • Jiang, Haijun & Teng, Zhidong, 2006. "Boundedness and global stability for nonautonomous recurrent neural networks with distributed delays," Chaos, Solitons & Fractals, Elsevier, vol. 30(1), pages 83-93.
    • Handle: RePEc:eee:chsofr:v:30:y:2006:i:1:p:83-93
    DOI: 10.1016/j.chaos.2005.08.132
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    References listed on IDEAS

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    1. Yang, Xiaofan & Liao, Xiaofeng & Megson, Graham M. & Evans, David J., 2005. "Global exponential periodicity of a class of neural networks with recent-history distributed delays," Chaos, Solitons & Fractals, Elsevier, vol. 25(2), pages 441-447.
    2. Song, Qiankun & Zhao, Zhenjiang, 2005. "Global dissipativity of neural networks with both variable and unbounded delays," Chaos, Solitons & Fractals, Elsevier, vol. 25(2), pages 393-401.
    3. Mohamad, S. & Gopalsamy, K., 2000. "Dynamics of a class of discrete-time neural networks and their continuous-time counterparts," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 53(1), pages 1-39.
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    Cited by:

    1. Song, Qiankun & Wang, Zidong, 2008. "Neural networks with discrete and distributed time-varying delays: A general stability analysis," Chaos, Solitons & Fractals, Elsevier, vol. 37(5), pages 1538-1547.
    2. Esteves, Salete & Oliveira, José J., 2015. "Global asymptotic stability of nonautonomous Cohen–Grossberg neural network models with infinite delays," Applied Mathematics and Computation, Elsevier, vol. 265(C), pages 333-346.
    3. Dehao Ruan & Yao Lu, 2024. "Generalized Halanay Inequalities and Asymptotic Behavior of Nonautonomous Neural Networks with Infinite Delays," Mathematics, MDPI, vol. 12(1), pages 1-19, January.
    4. Cai, Liming & Li, Xuezhi & Yu, Jingyuan & Zhu, Guangtian, 2009. "Dynamics of a nonautonomous predator–prey dispersion–delay system with Beddington–DeAngelis functional response," Chaos, Solitons & Fractals, Elsevier, vol. 40(4), pages 2064-2075.

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