A Problem in Positive Systems Stability Arising in Topology Control

Knorn, Florian and Stanojević, Rade and Corless, Martin and Shorten, Robert N. (2009) A Problem in Positive Systems Stability Arising in Topology Control. In: Proceedings of the third Multidisciplinary International Symposium on Positive Systems: Theory and Applications (POSTA 2009) Valencia, Spain, September 2-4, 2009. Lecture Notes in Control and Information Sciences (LNCIS), 389 . Springer Berlin , Heidelberg, pp. 339-347. ISBN 978-3-642-02893-9

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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.

Item Type: Book Section
Keywords: Network topology control; Communications; Control; Graph connectivity; Network nodes; Hamilton Institute.
Academic Unit: Faculty of Science and Engineering > Research Institutes > Hamilton Institute
Item ID: 1607
Identification Number: 10.1007/978-3-642-02894-6_33
Depositing User: Hamilton Editor
Date Deposited: 20 Oct 2009 16:54
Publisher: Springer Berlin
Refereed: No

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