In this paper a procedure for construction of complete type Lyapunov-Krasovskii functionals for a scalar neutral type time delay equation is considered. The construction of the functionals depends on the so-called Lyapunov functions which satisfy a delay equation with additional boundary conditions. It is shown that these functionals admit lower and upper quadratic bounds. Exponential estimates for solutions of the scalar neutral type time delay equations based on the Lyapunov-Krasovskii functionals are presented. A new definition of the Lyapunov function is given, and a detailed analysis of its properties is carried out.

Original languageEnglish
Pages (from-to)17-25
Number of pages9
JournalSystems and Control Letters
Volume58
Issue number1
DOIs
StatePublished - Jan 2009

    Research areas

  • Lyapunov-Krasovskii functionals, Stability, Time delay systems

    Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering
  • Computer Science(all)
  • Mechanical Engineering

ID: 9422459