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A stability criterion for HNFDE with non-uniform delays

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  • Liu, Xingwen
  • Zhong, Shouming
  • Zhang, Fengli

Abstract

Stability of functional differential equations (FDE) is an increasingly important problem in both science and engineering. Delays, whether uniform or non-uniform, play an important role in the dynamics of a system. Since non-uniform delay is more general and less focused than uniform delay, this paper concentrates on the stability of high-order neutral functional differential equations (HNFDE) with non-uniform delay, and proposes a sufficient condition for it. This result may be widely helpful, thanks to the frequent emergence of a HNFDE with non-uniform delay in various fields. Its effectiveness is illustrated by some examples.

Suggested Citation

  • Liu, Xingwen & Zhong, Shouming & Zhang, Fengli, 2005. "A stability criterion for HNFDE with non-uniform delays," Chaos, Solitons & Fractals, Elsevier, vol. 24(5), pages 1299-1305.
    • Handle: RePEc:eee:chsofr:v:24:y:2005:i:5:p:1299-1305
    DOI: 10.1016/j.chaos.2004.09.046
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    References listed on IDEAS

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    1. Li, Chunguang & Xu, Hongbing & Liao, Xiaofeng & Yu, Juebang, 2004. "Synchronization in small-world oscillator networks with coupling delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 335(3), pages 359-364.
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