The construction of complete-type Lyapunov-Krasovkii{dotless}̌ functionals for a linear time-invariant delay system depends on so-called delay Lyapunov matrices which satisfy a matrix delay equation with additional boundary conditions. We study existence and uniqueness issues for these delay Lyapunov matrices.

Original languageEnglish
Pages (from-to)697-706
Number of pages10
JournalSystems and Control Letters
Volume55
Issue number9
DOIs
StatePublished - Sep 2006
Externally publishedYes

    Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

    Research areas

  • Delay Lyapunov matrices, Lyapunov-Krasovskii{dotless}̌ functionals, Time-delay systems, Uniqueness and existence issues

ID: 9427504