Direct bilinear Routh stability criteria for discrete systems

Y. Bistritz*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


The bilinear transformation is applied to Routh conditions for Hurwitz polynomials to obtain a variety of equivalent direct z-plane continued fraction (CF) expansions and stability conditions for discrete system polynomials. Efficient computational algorithms are provided. They can be used to test the stability of a discrete system and to determine the number of zeros of unstable system polynomials outside the unit circle. The many new CF forms may be also applicable to the design of bilinear transformed sampled data ladder filters.

Original languageEnglish
Pages (from-to)265-271
Number of pages7
JournalSystems and Control Letters
Issue number5
StatePublished - Jul 1984


  • Bilinear transformation
  • Discrete stability criterion
  • Ladder networks
  • z-plane continued fractions


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