Robust stability of uncertain discrete systems with time-varying delay

Emilia Fridman*, Uri Shaked

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations

Abstract

Robust stability is considered for uncertain discrete-time systems with time-varying delays from given intervals. A new construction of Lyapunov-Krasovskii functions (LKFs), which has been recently introduced in the continuous case, is applied: to a nominal LKF, which is appropriate to the system with nominal delays, terms are added that correspond to the system with the perturbed delays and that vanish when the delay perturbations approach 0. The nominal LKF is chosen in two forms: the descriptor type and the 'exact' one. The delay-independent result is derived via Razumikhin approach. The advantage of the new tests is demonstrated via illustrative examples.

Original languageEnglish
Title of host publicationProceedings of the 16th IFAC World Congress, IFAC 2005
PublisherIFAC Secretariat
Pages54-59
Number of pages6
ISBN (Print)008045108X, 9780080451084
DOIs
StatePublished - 2005

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
Volume16
ISSN (Print)1474-6670

Keywords

  • Discrete systems
  • Lyapunov-Krasovskii method
  • Norm-bounded uncertainties
  • Time-varying delay

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