A new small-gain theorem with an application to the stabilization of the chemostat

Iasson Karafyllis; Zhong Ping Jiang

doi:10.1002/rnc.1773

A new small-gain theorem with an application to the stabilization of the chemostat

Iasson Karafyllis, Zhong Ping Jiang

Electrical and Computer Engineering

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

Abstract

New small-gain results are obtained for nonlinear feedback systems under relaxed assumptions. Specifically, during a transient period, the solutions of the feedback system may not satisfy some key inequalities that previous small-gain results usually utilize to prove stability properties. The results allow the application of the small-gain perspective to various systems that satisfy less-demanding stability notions than the input-to-output stability property. The robust global feedback stabilization problem of an uncertain time-delayed chemostat model is solved by means of the new small-gain results.

Original language	English (US)
Pages (from-to)	1602-1630
Number of pages	29
Journal	International Journal of Robust and Nonlinear Control
Volume	22
Issue number	14
DOIs	https://doi.org/10.1002/rnc.1773
State	Published - Sep 25 2012

Keywords

chemostat models
feedback systems
input-to-output stability
small-gain theorem

ASJC Scopus subject areas

Control and Systems Engineering
General Chemical Engineering
Biomedical Engineering
Aerospace Engineering
Mechanical Engineering
Industrial and Manufacturing Engineering
Electrical and Electronic Engineering

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10.1002/rnc.1773

Cite this

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A new small-gain theorem with an application to the stabilization of the chemostat

Abstract

Keywords

ASJC Scopus subject areas

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