New stability and stabilization conditions for systems with time-delay

Yuanqing Xia*, G. P. Liu, P. Shi, D. Rees, E. J.C. Thomas

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

85 Citations (Scopus)

Abstract

In this article, the problems of stability and stabilization for systems with both constant and time-varying delays have been considered. By the so-called lifting method, time-delay systems are transformed into delay-free systems such that simple necessary and sufficient conditions have been developed for the stability analysis of systems with constant delays. For systems with time-varying delays, they have been converted to a switched system so that the existing results can be applied to analyze the problems of stability and stabilization. Linear matrix inequality (LMI) approach has been employed to the state feedback control design. Numerical examples are given to show the effectiveness of the proposed technique.

Original languageEnglish
Pages (from-to)17-24
Number of pages8
JournalInternational Journal of Systems Science
Volume38
Issue number1
DOIs
Publication statusPublished - Jan 2007

Keywords

  • Discrete-time systems
  • Linear matrix inequality (LMI)
  • Time-delay
  • Uncertain systems

Fingerprint

Dive into the research topics of 'New stability and stabilization conditions for systems with time-delay'. Together they form a unique fingerprint.

Cite this