Various results concerning set input-to-state stability

Yuandan Lin, Eduardo Sontag, Yuan Wang

Research output: Contribution to journalConference articlepeer-review

38 Scopus citations


Regarding the input-to-state stability (ISS) property, we extend to arbitrary closed invariant sets various results which were previously known for the case of equilibria. In particular, we show the equivalence between stabilizability and feedback equivalence to ISS systems. In addition, for the compact attractor case, we provide Lyapunov and dissipation-theoretic characterizations, and we relate this case to the notion of 'practical' ISS (ISpS), a notion which appears in the context of small-gain theorems.

Original languageEnglish (US)
Pages (from-to)1330-1335
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
StatePublished - 1995
Externally publishedYes
EventProceedings of the 1995 34th IEEE Conference on Decision and Control. Part 1 (of 4) - New Orleans, LA, USA
Duration: Dec 13 1995Dec 15 1995

ASJC Scopus subject areas

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


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