Minimal realisation of the transfer function matrix with multiple time delays

H. P. Wang, L. S. Shieh, Y. Zhang, J. S.H. Tsai

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)


A minimal realisation scheme for a class of multiple time-delay transfer function matrices with distinct poles is presented. Also, a simple minimal realisation method is developed for a specific two-input-two-output multiple time-delay system whose poles can be repeated. In addition, a state-space discretisation technique developed for a multivariable system with a single time delay is extended to a multivariable system with multiple time delays. Finally, it should be mentioned that the proposed approach is restricted to systems where multiple time delays arise only in the input and output, and not in the state. Illustrative examples are given to demonstrate the effectiveness of the proposed method.

Original languageEnglish
Pages (from-to)1294-1301
Number of pages8
JournalIET Control Theory and Applications
Issue number5
Publication statusPublished - 2007 Aug 24

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Human-Computer Interaction
  • Computer Science Applications
  • Control and Optimization
  • Electrical and Electronic Engineering


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