A stability/instability  trichotomy  for non-negative Lur’e  systems

Adam Bill; Christopher Guiver; Hartmut Logemann; Stuart Townley

A stability/instability trichotomy for non-negative Lur’e systems

Adam Bill, Christopher Guiver, Hartmut Logemann, Stuart Townley

University of Exeter

Research output: Chapter or section in a book/report/conference proceeding › Chapter in a published conference proceeding

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Abstract

We identify a stability/instability trichotomy for a class of non-negative continuous-time Lur’e systems. Asymptotic as well as input-to-state stability concepts (ISS) are considered. The presented trichotomy rests on Perron-Frobenius theory, absolute stability theory and recent ISS results for
Lur’e systems.

Original language	English
Title of host publication	Proceedings of the MTNS 2014
Publication status	Published - 2014

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http://fwn06.housing.rug.nl/mtns2014-papers/extendedAbstracts/0247.pdfLicence: CC BY

Cite this

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title = "A stability/instability trichotomy for non-negative Lur{\textquoteright}e systems",

abstract = "We identify a stability/instability trichotomy for a class of non-negative continuous-time Lur{\textquoteright}e systems. Asymptotic as well as input-to-state stability concepts (ISS) are considered. The presented trichotomy rests on Perron-Frobenius theory, absolute stability theory and recent ISS results for Lur{\textquoteright}e systems.",

author = "Adam Bill and Christopher Guiver and Hartmut Logemann and Stuart Townley",

year = "2014",

language = "English",

booktitle = "Proceedings of the MTNS 2014",

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T1 - A stability/instability trichotomy for non-negative Lur’e systems

AU - Bill, Adam

AU - Guiver, Christopher

AU - Logemann, Hartmut

AU - Townley, Stuart

PY - 2014

Y1 - 2014

N2 - We identify a stability/instability trichotomy for a class of non-negative continuous-time Lur’e systems. Asymptotic as well as input-to-state stability concepts (ISS) are considered. The presented trichotomy rests on Perron-Frobenius theory, absolute stability theory and recent ISS results for Lur’e systems.

AB - We identify a stability/instability trichotomy for a class of non-negative continuous-time Lur’e systems. Asymptotic as well as input-to-state stability concepts (ISS) are considered. The presented trichotomy rests on Perron-Frobenius theory, absolute stability theory and recent ISS results for Lur’e systems.

UR - http://fwn06.housing.rug.nl/mtns2014-papers/extendedAbstracts/0247.pdf

M3 - Chapter in a published conference proceeding

BT - Proceedings of the MTNS 2014

ER -

A stability/instability trichotomy for non-negative Lur’e systems

Abstract

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