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: Theory and Applications, POSTA 2009
Pages339-347
Number of pages9
Volume389
DOIs
Publication statusPublished - 2009
Externally publishedYes
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)01708643

Other

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

Fingerprint

system stability
guarantee
simulation

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 (Vol. 389, pp. 339-347). (Lecture Notes in Control and Information Sciences; Vol. 389). https://doi.org/10.1007/978-3-642-02894-6_33

A problem in positive systems stability arising in topology control. / Knorn, Florian; Stanojevic, Rade; Corless, Martin; Shorten, Robert.

Positive Systems - Proceedings of the third Multidisciplinary International Symposium on Positive Systems: Theory and Applications, POSTA 2009. Vol. 389 2009. p. 339-347 (Lecture Notes in Control and Information Sciences; Vol. 389).

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

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. vol. 389, Lecture Notes in Control and Information Sciences, vol. 389, pp. 339-347, 3rd Multidisciplinary Symposium on Positive Systems: Theory and Applications, POSTA 2009, Valencia, Spain, 2/9/09. https://doi.org/10.1007/978-3-642-02894-6_33
Knorn F, Stanojevic R, Corless M, Shorten R. 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. Vol. 389. 2009. p. 339-347. (Lecture Notes in Control and Information Sciences). https://doi.org/10.1007/978-3-642-02894-6_33
Knorn, Florian ; Stanojevic, Rade ; Corless, Martin ; Shorten, Robert. / A problem in positive systems stability arising in topology control. Positive Systems - Proceedings of the third Multidisciplinary International Symposium on Positive Systems: Theory and Applications, POSTA 2009. Vol. 389 2009. pp. 339-347 (Lecture Notes in Control and Information Sciences).
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