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  • 标题:A new inequality of L $\mathcal{L}$ -operator and its application to stochastic non-autonomous impulsive neural networks with delays
  • 本地全文:下载
  • 作者:Tianqi Luo ; Shujun Long
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2016
  • 卷号:2016
  • 期号:1
  • 页码:9
  • DOI:10.1186/s13662-015-0697-y
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper, based on the properties of L $\mathcal{L}$ -operator and M $\mathcal{M}$ -matrix, we develop a new inequality of L $\mathcal{L}$ -operator to be effective for non-autonomous stochastic systems. From the new inequality obtained above, we derive the sufficient conditions ensuring the global exponential stability of the stochastic non-autonomous impulsive cellular neural networks with delays. Our conclusions generalize some works published before. One example is provided to illustrate the superiority of the proposed results.
  • 关键词:exponential stability ; inequality ; non-autonomous ; stochastic ; delays ; neural networks ; impulses
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