Diagonal Lyapunov functions for positive linear time-varying systems

Sei Zhen Khong; Anders Rantzer

doi:10.1109/CDC.2016.7799076

Diagonal Lyapunov functions for positive linear time-varying systems

Sei Zhen Khong, Anders Rantzer

University of Minnesota

Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding › peer-review

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Abstract

Stable positive linear time-invariant autonomous systems admit diagonal quadratic Lyapunov functions. Such a property is known to be useful in distributed and scalable control of positive systems. In this paper, it is established that the same holds for exponentially stable positive discrete-time and continuous-time linear time-varying systems.

Original language	English
Title of host publication	2016 IEEE 55th Conference on Decision and Control (CDC)
ISBN (Electronic)	978-1-5090-1837-6
DOIs	https://doi.org/10.1109/CDC.2016.7799076
Publication status	Published - 2016
Event	55th IEEE Conference on Decision and Control 2016 - Las Vegas, NV, United States Duration: 2016 Sept 12 → 2016 Sept 14 http://cdc2016.ieeecss.org/

Conference

Conference	55th IEEE Conference on Decision and Control 2016
Abbreviated title	CDC2016
Country/Territory	United States
City	Las Vegas, NV
Period	2016/09/12 → 2016/09/14
Internet address	http://cdc2016.ieeecss.org/

Subject classification (UKÄ)

Control Engineering

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10.1109/CDC.2016.7799076

2016cdcKhongRantzer

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title = "Diagonal Lyapunov functions for positive linear time-varying systems",

abstract = "Stable positive linear time-invariant autonomous systems admit diagonal quadratic Lyapunov functions. Such a property is known to be useful in distributed and scalable control of positive systems. In this paper, it is established that the same holds for exponentially stable positive discrete-time and continuous-time linear time-varying systems.",

author = "Khong, {Sei Zhen} and Anders Rantzer",

year = "2016",

doi = "10.1109/CDC.2016.7799076",

language = "English",

booktitle = "2016 IEEE 55th Conference on Decision and Control (CDC)",

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AU - Rantzer, Anders

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AB - Stable positive linear time-invariant autonomous systems admit diagonal quadratic Lyapunov functions. Such a property is known to be useful in distributed and scalable control of positive systems. In this paper, it is established that the same holds for exponentially stable positive discrete-time and continuous-time linear time-varying systems.

U2 - 10.1109/CDC.2016.7799076

DO - 10.1109/CDC.2016.7799076

M3 - Paper in conference proceeding

BT - 2016 IEEE 55th Conference on Decision and Control (CDC)

T2 - 55th IEEE Conference on Decision and Control 2016

Y2 - 12 September 2016 through 14 September 2016

ER -

Diagonal Lyapunov functions for positive linear time-varying systems

Abstract

Conference

Subject classification (UKÄ)

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