On delay-dependent stability of neutral time-delay systems

Jian Sun, G. P. Liu

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

1 Citation (Scopus)

Abstract

This paper is concerned with the problem of stability of neutral time-delay systems. On the basis of Lyapunov-Krasovskii approach, a new delay-dependent stability condition is firstly obtained in terms of linear matrix inequality (LMI) using the free-weighting matrices method. Following the method of discretization of the delay, much less conservative stability conditions are secondly derived. In addition, the obtained results are further extended to neutral time-delay systems with either norm-bounded uncertainties or polytopic uncertainties. Finally, numerical examples illustrate that the proposed conditions are effective and less conservative than the existing results.

Original languageEnglish
Title of host publication2007 European Control Conference, ECC 2007
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages5623-5630
Number of pages8
ISBN (Electronic)9783952417386
DOIs
Publication statusPublished - 2007
Externally publishedYes
Event2007 9th European Control Conference, ECC 2007 - Kos, Greece
Duration: 2 Jul 20075 Jul 2007

Publication series

Name2007 European Control Conference, ECC 2007

Conference

Conference2007 9th European Control Conference, ECC 2007
Country/TerritoryGreece
CityKos
Period2/07/075/07/07

Keywords

  • Delay-dependent stability
  • Linear matrix inequality
  • Neutral systems
  • Uncertainty

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