Comparing digital implementation via the bilinear and step-invariant transformations

Guofeng Zhang, Tongwen Chen

Research output: Journal article publicationJournal articleAcademic researchpeer-review

4 Citations (Scopus)


From an analog system K, digital systems Kdand Kbtare often obtained via the step-invariant and bilinear transformations, respectively. For the case when K is stable, it is shown that under certain conditions, Kbtconverges to Kdin ℓp-induced norms as the sampling period tends to zero for 1≤p≤∞. Furthermore, Kbtconverges to Kdin the graph metric as the sampling period tends to zero no matter whether K is stable or not.
Original languageEnglish
Pages (from-to)327-330
Number of pages4
Issue number2
Publication statusPublished - 1 Feb 2004
Externally publishedYes


  • ℓ -Induced norms p
  • Bilineartransformation
  • Graph metric
  • Sampled-data systems
  • Step-invariant transformation

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

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