Stability analysis of multirate sampled-data control systems

Hiroshi Itop, Hiromitus Ohmori, Akira Sano

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)


The paper considers the stability of finite-dimensional linear multirate sampled-data control systems. A notion of internal stability is defined, based on continous-time singals. A complete proof is given for the equivalence between continuous-time internal stability and discrete-time internal stability. An input-output property called Lv(1≦v≦ ∞) hybrid stability is investigated for mulatirate systems having exogenous continuous-time inputs and output, and hybrid stability is shown to be equivalent to internal stability, which is fundamental to a true development of multirate sampled-data Lv control design. The relationship between internal stability and input-output stability is also discussed in continuous time.

Original languageEnglish
Pages (from-to)341-354
Number of pages14
JournalIMA Journal of Mathematical Control and Information
Issue number4
Publication statusPublished - 1994

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Control and Optimization
  • Applied Mathematics


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