Direct bilinear Routh stability criteria for discrete systems

Research output: Contribution to journalArticlepeer-review

Abstract

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
Volume4
Issue number5
DOIs
StatePublished - Jul 1984

Keywords

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

Fingerprint

Dive into the research topics of 'Direct bilinear Routh stability criteria for discrete systems'. Together they form a unique fingerprint.

Cite this