Generalizations of asymptotic gain characterizations of ISS to input-to-output stability

B. Ingalls, E. D. Sontag, Y. Wang

Research output: Contribution to journalConference articlepeer-review

14 Scopus citations


This paper generalizes to the case of output stability the study of a separation principle for input-to-state stability (ISS), which says that the ISS property can be expressed as the conjunction of stability and an asymptotic gain condition. It is shown that the direct generalization of ISS to outputs, known as input-to-output stability (IOS), only allows a separation principle under an additional condition of output Lagrange stability, meaning that outputs are stable with respect to initial outputs and inputs.

Original languageEnglish (US)
Pages (from-to)2279-2284
Number of pages6
JournalProceedings of the American Control Conference
StatePublished - 2001
Event2001 American Control Conference - Arlington, VA, United States
Duration: Jun 25 2001Jun 27 2001

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering

Cite this