D-stability analysis for discrete systems with a time delay

Chien Hua Lee, Tzuu Hseng S. Li, Fan Chu Kung

Research output: Contribution to journalArticlepeer-review

51 Citations (Scopus)


This paper first discusses the D-pole placement problem of discrete time-delay systems. Some criteria are proposed to ensure that all the closed-loop eigenvalues of discrete systems with a time delay are located inside a specific disk D(α, r) centered at (α, 0) with radius r. Then, several sufficient conditions for guaranteeing the D-stability of discrete time-delay systems subjected to parametric perturbations are presented. Both unstructured and highly structured parametric perturbations are considered. By these sufficient conditions, the tolerable parametric perturbation bounds that ensure all the closed-loop poles of discrete time-delay perturbed systems to remain inside the desired disk D(α, r) can be estimated. Finally, illustrative examples are given for demonstration.

Original languageEnglish
Pages (from-to)213-219
Number of pages7
JournalSystems and Control Letters
Issue number3
Publication statusPublished - 1992 Sep

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Computer Science(all)
  • Mechanical Engineering
  • Electrical and Electronic Engineering


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