A Lyapunov-Krasovskii methodology for ISS and iISS of time-delay systems

P. Pepe, Z. P. Jiang

Research output: Contribution to journalArticlepeer-review


This paper presents a Lyapunov-Krasovskii methodology for studying the input-to-state stability and the integral input-to-state stability of nonlinear time-delay systems. An integral input-state estimate which takes into account non-zero initial conditions is also proposed.

Original languageEnglish (US)
Pages (from-to)1006-1014
Number of pages9
JournalSystems and Control Letters
Issue number12
StatePublished - Dec 2006


  • Functional differential equations
  • Input-to-state stability (ISS)
  • Integral input-to-state stability (iISS)
  • Lyapunov-Krasovskii theorem
  • Nonlinear time-delay systems

ASJC Scopus subject areas

  • Control and Systems Engineering
  • General Computer Science
  • Mechanical Engineering
  • Electrical and Electronic Engineering


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