Conditional gain is necessary and sufficient for the robust stabilization of nonlinear systems

Anna L. Chen*, Gui Qiang Chen, Randy A. Freeman

*Corresponding author for this work

Research output: Contribution to journalConference article

Abstract

For the feedback interconnection of general nonlinear systems, the classical small-gain condition is sufficient but not necessary for robust stability. We introduce a weaker notion of gain which yields a small-gain condition which is both necessary and sufficient for robust stability. We also discuss conditions under which the two notions coincide.

Original languageEnglish (US)
Article numberTuC12.4
Pages (from-to)1347-1351
Number of pages5
JournalProceedings of the IEEE Conference on Decision and Control
Volume2
DOIs
StatePublished - Jan 1 2004
Event2004 43rd IEEE Conference on Decision and Control (CDC) - Nassau, Bahamas
Duration: Dec 14 2004Dec 17 2004

ASJC Scopus subject areas

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

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