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  • 标题:Absolute stability of time-varying delay Lurie indirect control systems with unbounded coefficients
  • 本地全文:下载
  • 作者:Fucheng Liao ; Xiao Yu ; Jiamei Deng
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2017
  • 卷号:2017
  • 期号:1
  • 页码:38
  • DOI:10.1186/s13662-017-1094-5
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:This paper investigates the absolute stability problem of time-varying delay Lurie indirect control systems with variable coefficients. A positive-definite Lyapunov-Krasovskii functional is constructed. Some novel sufficient conditions for absolute stability of Lurie systems with single nonlinearity are obtained by estimating the negative upper bound on its total time derivative. Furthermore, the results are generalised to multiple nonlinearities. The derived criteria are especially suitable for time-varying delay Lurie indirect control systems with unbounded coefficients. The effectiveness of the proposed results is illustrated using simulation examples.
  • 关键词:nonlinear systems ; Lurie indirect control systems ; absolute stability ; Lyapunov stability theorem
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