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A Problem in Positive Systems Stability Arising in Topology Control

  • Florian Knorn
  • Rade Stanojevic
  • Martin Corless
  • Robert Shorten
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 389)

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.

Keywords

Average Matrix Topology Control Positive System Geometric Graph Consensus Problem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Florian Knorn
    • 1
  • Rade Stanojevic
    • 1
  • Martin Corless
    • 2
  • Robert Shorten
    • 1
  1. 1.Hamilton InstituteNational University of Ireland MaynoothMaynoothIreland
  2. 2.School of Aeronautics & AstronauticsPurdue UniversityWest LafayetteUSA

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