A problem in positive systems stability arising in topology control

Florian Knorn, Rade Stanojevic, Martin Corless, Robert Shorten

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

We present a problem in the stability of switched positive systems that arises in network topology control. Preliminary results are given that guarantee stability of a network topology control problem under certain assumptions. Roughly speaking, these assumptions reduce the underlying stability problem to a nonlinear consensus problem with a driving term, that eventually becomes a Lur'e problem. Simulation results are given to illustrate our algorithm. While these results indicate that our assumptions can be removed, a proof of the general stability problem remains open.

Original languageEnglish
Title of host publicationPositive Systems - Proceedings of the third Multidisciplinary International Symposium on Positive Systems
Subtitle of host publicationTheory and Applications, POSTA 2009
Pages339-347
Number of pages9
DOIs
Publication statusPublished - 1 Dec 2009
Event3rd Multidisciplinary Symposium on Positive Systems: Theory and Applications, POSTA 2009 - Valencia, Spain
Duration: 2 Sep 20094 Sep 2009

Publication series

NameLecture Notes in Control and Information Sciences
Volume389
ISSN (Print)0170-8643

Other

Other3rd Multidisciplinary Symposium on Positive Systems: Theory and Applications, POSTA 2009
CountrySpain
CityValencia
Period2/9/094/9/09

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ASJC Scopus subject areas

  • Library and Information Sciences

Cite this

Knorn, F., Stanojevic, R., Corless, M., & Shorten, R. (2009). A problem in positive systems stability arising in topology control. In Positive Systems - Proceedings of the third Multidisciplinary International Symposium on Positive Systems: Theory and Applications, POSTA 2009 (pp. 339-347). (Lecture Notes in Control and Information Sciences; Vol. 389). https://doi.org/10.1007/978-3-642-02894-6_33