Lyapunov characterizations of input to output stability

Eduardo Sontag, Yuan Wang

Research output: Contribution to journalArticlepeer-review

192 Scopus citations


This paper presents necessary and sufficient characterizations of several notions of input to output stability. Similar Lyapunov characterizations have been found to play a key role in the analysis of the input to state stability property, and the results given here extend their validity to the case when the output, but not necessarily the entire internal state, is being regulated.

Original languageEnglish (US)
Pages (from-to)226-249
Number of pages24
JournalSIAM Journal on Control and Optimization
Issue number1
StatePublished - Aug 2000

All Science Journal Classification (ASJC) codes

  • Control and Optimization
  • Applied Mathematics


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

Cite this