Lyapunov–Krasovskii characterization of the input-to-state stability for neutral systems in Hale's form

Pierdomenico Pepe, I. Karafyllis, Z. P. Jiang

Research output: Contribution to journalArticlepeer-review

Abstract

The primary contribution of the paper is to show that the Lyapunov–Krasovskii conditions available in the literature, for checking the input-to-state stability property of systems described by neutral functional differential equations in Hale's form, are also necessary. It is shown that the Lyapunov–Krasovskii conditions available in the literature are equivalent to the input-to-state stability property, for an enlarged class of neutral systems. Finally, a novel necessary and sufficient condition for the input-to-state stability property is provided.

Original languageEnglish (US)
Pages (from-to)48-56
Number of pages9
JournalSystems and Control Letters
Volume102
DOIs
StatePublished - Apr 1 2017

Keywords

  • Converse Lyapunov–Krasovskii theorems
  • Input-to-state stability
  • Neutral functional differential equations
  • Time delays

ASJC Scopus subject areas

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

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