Input-to-output stability for systems described by retarded functional differential equations

Iasson Karafyllis, Pierdomenico Pepe, Zhong-Ping Jiang

Research output: Contribution to journalArticle

Abstract

In this work characterizations of external notions of output stability for uncertain time-varying systems described by retarded functional differential equations are provided. Particularly, characterizations by means of Lyapunov and Razumikhin functions of (uniform) Weighted Input-to-Output Stability are given. The results of this work have been developed for systems with outputs in abstract normed linear spaces in order to allow outputs with no delay, with discrete or distributed delay or functional outputs with memory.

Original languageEnglish (US)
Pages (from-to)539-555
Number of pages17
JournalEuropean Journal of Control
Volume14
Issue number6
DOIs
StatePublished - 2008

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Differential equations
Time varying systems
Data storage equipment

Keywords

  • Input-to-output stability
  • Lyapunov functionals
  • Razumikhin functions
  • Time-delay systems

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Input-to-output stability for systems described by retarded functional differential equations. / Karafyllis, Iasson; Pepe, Pierdomenico; Jiang, Zhong-Ping.

In: European Journal of Control, Vol. 14, No. 6, 2008, p. 539-555.

Research output: Contribution to journalArticle

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