Augmented Lyapunov functional and delay-dependent stability criteria for neutral systems

Yong He, Qing Guo Wang, Chong Lin, Min Wu

Research output: Contribution to journalArticlepeer-review

269 Citations (Scopus)


In this paper, an augmented Lyapunov functional is proposed to investigate the asymptotic stability of neutral systems. Two methods with or without decoupling the Lyapunov matrices and system matrices are developed and shown to be equivalent to each other. The resulting delay-dependent stability criteria are less conservative than the existing ones owing to the augmented Lyapunov functional and the introduction of free-weighting matrices. The delay-independent criteria are obtained as an easy corollary. Numerical examples are given to demonstrate the effectiveness and less conservativeness of the proposed methods.

Original languageEnglish
Pages (from-to)923-933
Number of pages11
JournalInternational Journal of Robust and Nonlinear Control
Issue number18
Publication statusPublished - Dec 2005
Externally publishedYes


  • Delay-dependent stability
  • Linear matrix inequality (LMI)
  • Lyapunov functional
  • Neutral systems

ASJC Scopus subject areas

  • Control and Systems Engineering
  • General Chemical Engineering
  • Biomedical Engineering
  • Aerospace Engineering
  • Mechanical Engineering
  • Industrial and Manufacturing Engineering
  • Electrical and Electronic Engineering


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