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On existence and global exponential stability of periodic solution of two-neuron networks with time-varying delays

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  • Zhao, Weirui

Abstract

This Letter presents new sufficient conditions for the existence and global exponential stability of periodic solution of two-neuron networks with time-varying delays. Our approach is based on the differential inequalities. The results are shown to generalize the previous existence and global exponential stability results derived in the literature. Numerical simulations are given at the end of the Letter.

Suggested Citation

  • Zhao, Weirui, 2009. "On existence and global exponential stability of periodic solution of two-neuron networks with time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 40(3), pages 1100-1105.
    • Handle: RePEc:eee:chsofr:v:40:y:2009:i:3:p:1100-1105
    DOI: 10.1016/j.chaos.2007.08.064
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    References listed on IDEAS

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    1. Liu, Yiguang & You, Zhisheng, 2007. "Multi-stability and almost periodic solutions of a class of recurrent neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 33(2), pages 554-563.
    2. Xia, Yonghui & Cao, Jinde & Lin, Muren, 2007. "New results on the existence and uniqueness of almost periodic solution for BAM neural networks with continuously distributed delays," Chaos, Solitons & Fractals, Elsevier, vol. 31(4), pages 928-936.
    3. Xia, Yonghui & Cao, Jinde & Huang, Zhenkun, 2007. "Existence and exponential stability of almost periodic solution for shunting inhibitory cellular neural networks with impulses," Chaos, Solitons & Fractals, Elsevier, vol. 34(5), pages 1599-1607.
    4. Liu, Bingwen & Huang, Lihong, 2007. "Existence and exponential stability of almost periodic solutions for cellular neural networks with mixed delays," Chaos, Solitons & Fractals, Elsevier, vol. 32(1), pages 95-103.
    5. Chen, Zhang & Zhao, Donghua & Ruan, Jiong, 2007. "Dynamic analysis of high-order Cohen–Grossberg neural networks with time delay," Chaos, Solitons & Fractals, Elsevier, vol. 32(4), pages 1538-1546.
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