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  • 标题:Some improved criteria on exponential stability of neutral differential equation
  • 本地全文:下载
  • 作者:Huabin Chen
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2012
  • 卷号:2012
  • 期号:1
  • 页码:170
  • DOI:10.1186/1687-1847-2012-170
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper, some improved delay-dependent exponential stability criteria of the neutral delayed differential equation d d t [ x ( t ) + p x ( t − τ ( t ) ) ] + a x ( t ) − b tanh x ( t − σ ( t ) ) = 0 , are expressed in terms of linear matrix inequalities (LMIs). Compared with some existing ones, our results are derived without the use of the mode transformation method and the bounding technique. Three numerical examples are provided to show the effectiveness of the proposed method and less conservatism of the obtained results.
  • 关键词:exponential stability ; neutral differential equations ; linear matrix inequalities (LMIs) ; time-varying delays
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