Knorn, Florian and Stanojević, Rade and Corless, Martin and Shorten, Robert
(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 24, 2009.
Lecture Notes in Control and Information Sciences (LNCIS), 389
.
Springer Berlin , Heidelberg, pp. 339347.
ISBN 9783642028939
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.
Item Type: 
Book Section

Keywords: 
Network topology control; Communications; Control; Graph connectivity; Network nodes; Hamilton Institute. 
Subjects: 
Science & Engineering > Hamilton Institute 
Item ID: 
1607 
Identification Number: 
10.1007/9783642028946_33 
Depositing User: 
Hamilton Editor

Date Deposited: 
20 Oct 2009 16:54 
Publisher: 
Springer Berlin 
Refereed: 
No 
URI: 

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