Stabilization of linear systems with distributed input delay using reduction transformation

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3 Citations (Scopus)


We propose a new stabilization method for linear systems with distributed input delay via reduction transformation and Riccati equation approach. In the presented stabilization scheme, the gain matrix of controller is constructed by the well-known linear control technique for delay-free systems. The transformation kernel matrix can be determined by solving the non-symmetric matrix Riccati equation backward with the boundary condition. When point delay systems are considered, it will be shown that the proposed control law degenerates to the standard one for input delay systems.

Original languageEnglish
Pages (from-to)1413-1416
Number of pages4
JournalChinese Science Bulletin
Issue number13
Publication statusPublished - 2011 May
Externally publishedYes


  • delay systems
  • delay-free systems
  • distributed delay
  • reduction transformation
  • riccati equation

ASJC Scopus subject areas

  • General


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