Output-input stability implies feedback stabilization

Research output: Contribution to journalArticlepeer-review


We study the recently introduced notion of output-input stability, which is a robust variant of the minimum-phase property for general smooth nonlinear control systems. This paper develops the theory of output-input stability in the multi-input, multi-output setting. We show that output-input stability is a combination of two system properties, one related to detectability and the other to left-invertibility. For systems affine in controls, we derive a necessary and sufficient condition for output-input stability, which relies on a global version of the nonlinear structure algorithm. This condition leads naturally to a globally asymptotically stabilizing state feedback strategy for affine output-input stable systems.

Original languageEnglish (US)
Pages (from-to)237-248
Number of pages12
JournalSystems and Control Letters
Issue number3-4
StatePublished - Nov 2004


  • Feedback stabilization
  • Minimum phase
  • Nonlinear contorl system
  • Output-input stability

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science(all)
  • Mechanical Engineering
  • Electrical and Electronic Engineering


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