On a large-gain theorem

Tryphon T. Georgiou; Mustafa Khammash; Alexander Megretski

doi:10.1016/S0167-6911(97)00069-8

On a large-gain theorem

Tryphon T. Georgiou, Mustafa Khammash, Alexander Megretski

Electrical and Computer Engineering

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

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 language	English (US)
Pages (from-to)	231-234
Number of pages	4
Journal	Systems and Control Letters
Volume	32
Issue number	4
DOIs	https://doi.org/10.1016/S0167-6911(97)00069-8
State	Published - 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

Access

10.1016/S0167-6911(97)00069-8

Cite this

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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.",

keywords = "Large gain theorem, Small gain theorem, Stabilization of unstable systems",

author = "Georgiou, {Tryphon T.} and Mustafa Khammash and Alexander Megretski",

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.",

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AU - Georgiou, Tryphon T.

AU - Khammash, Mustafa

AU - Megretski, Alexander

N1 - 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.

PY - 1997/12/3

Y1 - 1997/12/3

N2 - 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.

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KW - Large gain theorem

KW - Small gain theorem

KW - Stabilization of unstable systems

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