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Global dissipativity of neural networks with both variable and unbounded delays

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  • Song, Qiankun
  • Zhao, Zhenjiang

Abstract

In this paper, the dissipativity of neural networks with both variable and unbounded delays is investigated. By constructing proper Lyapunov functions and using some analytic techniques, several sufficient conditions are given to ensure the dissipativity of neural networks with both variable and unbounded delays. The results extend and improve the earlier publication. An example is given to show the effectiveness of the obtained results.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:25:y:2005:i:2:p:393-401
    DOI: 10.1016/j.chaos.2004.11.035
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    Cited by:

    1. Zhang, Guodong & Zeng, Zhigang, 2018. "Exponential stability for a class of memristive neural networks with mixed time-varying delays," Applied Mathematics and Computation, Elsevier, vol. 321(C), pages 544-554.
    2. Lou, Xu Yang & Cui, Bao Tong, 2008. "Global robust dissipativity for integro-differential systems modeling neural networks with delays," Chaos, Solitons & Fractals, Elsevier, vol. 36(2), pages 469-478.
    3. Ji, Yan & Lou, Xuyang & Cui, Baotong, 2009. "Global output convergence of Cohen–Grossberg neural networks with both time-varying and distributed delays," Chaos, Solitons & Fractals, Elsevier, vol. 40(1), pages 344-354.
    4. Zhao, Weirui & Yan, Anzhi, 2009. "Stability analysis of neural networks with both variable and unbounded delays," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 697-707.
    5. Tu, Zhengwen & Yang, Xinsong & Wang, Liangwei & Ding, Nan, 2019. "Stability and stabilization of quaternion-valued neural networks with uncertain time-delayed impulses: Direct quaternion method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
    6. 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.
    7. Yang, Haifeng & Chu, Tianguang, 2007. "LMI conditions for stability of neural networks with distributed delays," Chaos, Solitons & Fractals, Elsevier, vol. 34(2), pages 557-563.
    8. 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.
    9. Gui, Zhanji & Ge, Weigao, 2007. "Periodic solutions of nonautonomous cellular neural networks with impulses," Chaos, Solitons & Fractals, Elsevier, vol. 32(5), pages 1760-1771.

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