Input-to-state stability with respect to inputs and their derivatives

David Angeli, Eduardo D. Sontag, Yuan Wang

Research output: Contribution to journalArticlepeer-review

24 Scopus citations


A new notion of input-to-state stability involving infinity norms of input derivatives up to a finite order k is introduced and characterized. An example shows that this notion of stability is indeed weaker than the usual ISS. Applications to the study of global asymptotic stability of cascaded non-linear systems are discussed.

Original languageAmerican English
Pages (from-to)1035-1056
Number of pages22
JournalInternational Journal of Robust and Nonlinear Control
Issue number11
StatePublished - Sep 2003

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Chemical Engineering(all)
  • Biomedical Engineering
  • Aerospace Engineering
  • Mechanical Engineering
  • Industrial and Manufacturing Engineering
  • Electrical and Electronic Engineering


  • Cascaded systems
  • Dissipative systems
  • Input-to-state stability
  • Lyapunov methods


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