A notion of input to output stability

Eduardo Sontag, Yuan Wang

Research output: Chapter in Book/Report/Conference proceedingConference contribution

27 Scopus citations


This paper deals with a notion of "input to output stability" (ios), which formalizes the idea that outputs depend in an "aymptotically stable" manner on inputs, while internal signals remain bounded. When the output equals the complete state, one recovers the property of input to state stability (iss). When there are no inputs, one has a generalization of the classical concept of partial stability. The main results provide Lyapunov-function characterizations of ios.

Original languageEnglish (US)
Title of host publicationECC 1997 - European Control Conference
PublisherInstitute of Electrical and Electronics Engineers Inc.
Number of pages6
ISBN (Electronic)9783952426906
StatePublished - Apr 8 1997
Event4th European Control Conference, ECC 1997 - Brussels, Belgium
Duration: Jul 1 1997Jul 4 1997

Publication series

NameECC 1997 - European Control Conference


Other4th European Control Conference, ECC 1997

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering


  • Nonlinear control
  • Robust stability
  • Stability


Dive into the research topics of 'A notion of input to output stability'. Together they form a unique fingerprint.

Cite this