On a large-gain theorem

Tryphon T. Georgiou, Mustafa Khammash, Alexander Megretski

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Abstract

The aim of this paper is to give a general quantitative requirement which the loop gain must satisfy in order to stabilize a given unstable (possibly nonlinear and time-varying) plant, namely that the gain must exceed one.

Original languageEnglish (US)
Pages (from-to)231-234
Number of pages4
JournalSystems and Control Letters
Volume32
Issue number4
DOIs
StatePublished - Dec 3 1997

Bibliographical note

Funding Information:
* Corresponding author. 1This is an expanded version of \[2\]T. his research is supported in part by NSF under grants ECS-9457485, ECS 9410531, ECS-9505995, and by AFOSR under grant F49620-96-1-0094.

Keywords

  • Large gain theorem
  • Small gain theorem
  • Stabilization of unstable systems

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