Small-gain theorem, gain assignment and applications

Z. P. Jiang, A. R. Teel, L. Praly

Research output: Contribution to journalConference articlepeer-review


We introduce a concept of input-to-output practical stability (IOpS) which is a natural generalization of input-to-state stability proposed by Sontag. It allows us to establish two important results. The first one states that the general interconnection of two IOpS systems is again an IOpS system if an appropriate composition of the gain functions of the components is smaller than the identity function. The second one shows an example of gain function assignment by feedback. Applications to the problem of global stabilization via partial-state feedback and output feedback are also considered. The proofs can be found in [6].

Original languageEnglish (US)
Pages (from-to)3444-3449
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
StatePublished - 1994
EventProceedings of the 33rd IEEE Conference on Decision and Control. Part 1 (of 4) - Lake Buena Vista, FL, USA
Duration: Dec 14 1994Dec 16 1994

ASJC Scopus subject areas

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


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