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Existence and Stability of Limit Cycles in Switched Single Server Flow Networks Modelled as Hybrid Dynamical Systems

  • Alexey S. Matveev
  • Andrey V. Savkin
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1790)

Abstract

The paper deals with the qualitative analysis of the so-called switched flow networks. Such networks are used to model various communication, computer, and flexible manufacturing systems. We prove that for any deterministic network from a specific class, there exists a finite number of limit cycles attracting all the trajectories. Furthermore, we determine this number.

Keywords

Control Policy Processing Part Periodic Trajectory Invariant Domain Hybrid Dynamical System 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Alexey S. Matveev
    • 1
  • Andrey V. Savkin
    • 2
  1. 1.Department of Mathematics and MechanicsSt.Petersburg State UniversitySt.Petersburg, PetrodvoretzRussia
  2. 2.Department of Electrical and Electronic EngineeringUniversity of Western AustraliaNedlandsAustralia

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