DOI

Exponential estimates and sufficient conditions for the exponential stability of linear neutral time delay for systems with multiple delays are given. The case of systems with uncertainties, including uncertainties in the difference operator, is considered. The proofs follows from new results on non-homogeneous difference equations evolving in continuous time combined with the Lyapunov-Krasovskii functionals approach. The conditions are expressed in terms of linear matrix inequalities. The particular case of neutral time delay systems with commensurate delays, which leads to less restrictive exponential estimates, is also addressed.

Original languageEnglish
Pages (from-to)71-84
Number of pages14
JournalInternational Journal of Robust and Nonlinear Control
Volume16
Issue number2
DOIs
StatePublished - 25 Jan 2006
Externally publishedYes

    Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering
  • Applied Mathematics

    Research areas

  • Exponential estimate, Linear matrix inequalities, Lyapunov-Krasovskii functional, Neutral time delay system

ID: 9427672