Lyapunov characterizations of input-output-to-state stability

Mikhail Krichman, Eduardo D. Sontag, Yuan Wang

Research output: Contribution to journalConference articlepeer-review

4 Scopus citations


This work explores Lyapunov characterizations of the input-output-to-state stability (IOSS) property for non-linear systems. The notion of IOSS is a natural generalization of the standard detectability property used in the linear case. The main contribution of this work is to establish a complete equivalence between the input-output-to-state stability property and the existence of a certain type of smooth Lyapunov function.

Original languageEnglish (US)
Pages (from-to)2070-2075
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
StatePublished - 1999
EventThe 38th IEEE Conference on Decision and Control (CDC) - Phoenix, AZ, USA
Duration: Dec 7 1999Dec 10 1999

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

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