On improved delay-dependent stability criteria for neutral time-delay systems

Jian Sun*, G. P. Liu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)

Abstract

This paper is concerned with the problem of the stability of the neutral time-delay system. On the basis of Lyapunov-Krasovskii functional approach, a new delay-dependent stability criterion is firstly obtained interms of linear matrix inequality (LMI) using the freeweighting matrices method. Using the projection lemma, all the free-weighting matrices are eliminated and another new stability criterion with fewer decision variables is obtained. Following the method of discretization of the delay, much less conservative stability conditions are also derived. Finally, numerical examples illustrate that the proposed method is effective and leads to less conservative results than existing ones.

Original languageEnglish
Pages (from-to)613-623
Number of pages11
JournalEuropean Journal of Control
Volume15
Issue number6
DOIs
Publication statusPublished - 2009
Externally publishedYes

Keywords

  • Delay-dependent stability
  • Linear matrix inequality (lmi)
  • Lyapunov-Krasovskii functional
  • Neutral time-delay systems

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